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Finding the Third Proportional to 406,448 and 571,864

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Solution

The third proportional to 406,448 and 571,864 is: 804,600.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,448 : 571,864 = 571,864 : x
  2. Step 2: Convert to fraction form
    406,448/571,864 = 571,864/x
  3. Step 3: Cross multiply
    406,448x = 571,864 × 571,864
  4. Step 4: Simplify right side
    406,448x = 327,028,434,496
  5. Step 5: Solve for x
    x = 327,028,434,496/406,448
  6. Step 6: Final answer
    x = 804,600.92

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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.