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Finding the Third Proportional to 302,656,594.50 and 651,731,386.50

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Solution

The third proportional to 302,656,594.50 and 651,731,386.50 is: 1,403,418,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,656,594.50 : 651,731,386.50 = 651,731,386.50 : x
  2. Step 2: Convert to fraction form
    302,656,594.50/651,731,386.50 = 651,731,386.50/x
  3. Step 3: Cross multiply
    302,656,594.50x = 651,731,386.50 × 651,731,386.50
  4. Step 4: Simplify right side
    302,656,594.50x = 424,753,800,149,212,352
  5. Step 5: Solve for x
    x = 424,753,800,149,212,352/302,656,594.50
  6. Step 6: Final answer
    x = 1,403,418,289.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.