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Finding the Third Proportional to 406,446.75 and 571,860

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Solution

The third proportional to 406,446.75 and 571,860 is: 804,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,446.75 : 571,860 = 571,860 : x
  2. Step 2: Convert to fraction form
    406,446.75/571,860 = 571,860/x
  3. Step 3: Cross multiply
    406,446.75x = 571,860 × 571,860
  4. Step 4: Simplify right side
    406,446.75x = 327,023,859,600
  5. Step 5: Solve for x
    x = 327,023,859,600/406,446.75
  6. Step 6: Final answer
    x = 804,592.14

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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.