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Finding the Third Proportional to 432,355.22 and 687,024.28

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Solution

The third proportional to 432,355.22 and 687,024.28 is: 1,091,700.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,355.22 : 687,024.28 = 687,024.28 : x
  2. Step 2: Convert to fraction form
    432,355.22/687,024.28 = 687,024.28/x
  3. Step 3: Cross multiply
    432,355.22x = 687,024.28 × 687,024.28
  4. Step 4: Simplify right side
    432,355.22x = 472,002,363,027.08
  5. Step 5: Solve for x
    x = 472,002,363,027.08/432,355.22
  6. Step 6: Final answer
    x = 1,091,700.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.