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Finding the Third Proportional to 302,656,584 and 651,731,376

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Solution

The third proportional to 302,656,584 and 651,731,376 is: 1,403,418,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,656,584 : 651,731,376 = 651,731,376 : x
  2. Step 2: Convert to fraction form
    302,656,584/651,731,376 = 651,731,376/x
  3. Step 3: Cross multiply
    302,656,584x = 651,731,376 × 651,731,376
  4. Step 4: Simplify right side
    302,656,584x = 424,753,786,462,853,376
  5. Step 5: Solve for x
    x = 424,753,786,462,853,376/302,656,584
  6. Step 6: Final answer
    x = 1,403,418,292.94

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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.