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Finding the Third Proportional to 302,272.50 and 651,748.50

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Solution

The third proportional to 302,272.50 and 651,748.50 is: 1,405,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,272.50 : 651,748.50 = 651,748.50 : x
  2. Step 2: Convert to fraction form
    302,272.50/651,748.50 = 651,748.50/x
  3. Step 3: Cross multiply
    302,272.50x = 651,748.50 × 651,748.50
  4. Step 4: Simplify right side
    302,272.50x = 424,776,107,252.25
  5. Step 5: Solve for x
    x = 424,776,107,252.25/302,272.50
  6. Step 6: Final answer
    x = 1,405,275.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.