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Finding the Third Proportional to 491,590.69 and 747,648.56

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Solution

The third proportional to 491,590.69 and 747,648.56 is: 1,137,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,590.69 : 747,648.56 = 747,648.56 : x
  2. Step 2: Convert to fraction form
    491,590.69/747,648.56 = 747,648.56/x
  3. Step 3: Cross multiply
    491,590.69x = 747,648.56 × 747,648.56
  4. Step 4: Simplify right side
    491,590.69x = 558,978,373,008.32
  5. Step 5: Solve for x
    x = 558,978,373,008.32/491,590.69
  6. Step 6: Final answer
    x = 1,137,080.88

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