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Finding the Third Proportional to 434,448 and 660,567

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Solution

The third proportional to 434,448 and 660,567 is: 1,004,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,448 : 660,567 = 660,567 : x
  2. Step 2: Convert to fraction form
    434,448/660,567 = 660,567/x
  3. Step 3: Cross multiply
    434,448x = 660,567 × 660,567
  4. Step 4: Simplify right side
    434,448x = 436,348,761,489
  5. Step 5: Solve for x
    x = 436,348,761,489/434,448
  6. Step 6: Final answer
    x = 1,004,375.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.