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Finding the Third Proportional to 531,712 and 817,279.50

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Solution

The third proportional to 531,712 and 817,279.50 is: 1,256,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,712 : 817,279.50 = 817,279.50 : x
  2. Step 2: Convert to fraction form
    531,712/817,279.50 = 817,279.50/x
  3. Step 3: Cross multiply
    531,712x = 817,279.50 × 817,279.50
  4. Step 4: Simplify right side
    531,712x = 667,945,781,120.25
  5. Step 5: Solve for x
    x = 667,945,781,120.25/531,712
  6. Step 6: Final answer
    x = 1,256,217.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.