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Finding the Third Proportional to 363,242 and 566,939

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Solution

The third proportional to 363,242 and 566,939 is: 884,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,242 : 566,939 = 566,939 : x
  2. Step 2: Convert to fraction form
    363,242/566,939 = 566,939/x
  3. Step 3: Cross multiply
    363,242x = 566,939 × 566,939
  4. Step 4: Simplify right side
    363,242x = 321,419,829,721
  5. Step 5: Solve for x
    x = 321,419,829,721/363,242
  6. Step 6: Final answer
    x = 884,864.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.