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Finding the Third Proportional to 434,788 and 571,744

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Solution

The third proportional to 434,788 and 571,744 is: 751,840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,788 : 571,744 = 571,744 : x
  2. Step 2: Convert to fraction form
    434,788/571,744 = 571,744/x
  3. Step 3: Cross multiply
    434,788x = 571,744 × 571,744
  4. Step 4: Simplify right side
    434,788x = 326,891,201,536
  5. Step 5: Solve for x
    x = 326,891,201,536/434,788
  6. Step 6: Final answer
    x = 751,840.44

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.