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Finding the Third Proportional to 400,029 and 562,691

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Solution

The third proportional to 400,029 and 562,691 is: 791,495.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,029 : 562,691 = 562,691 : x
  2. Step 2: Convert to fraction form
    400,029/562,691 = 562,691/x
  3. Step 3: Cross multiply
    400,029x = 562,691 × 562,691
  4. Step 4: Simplify right side
    400,029x = 316,621,161,481
  5. Step 5: Solve for x
    x = 316,621,161,481/400,029
  6. Step 6: Final answer
    x = 791,495.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.