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Finding the Third Proportional to 491,442.19 and 752,419.13

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Solution

The third proportional to 491,442.19 and 752,419.13 is: 1,151,986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,442.19 : 752,419.13 = 752,419.13 : x
  2. Step 2: Convert to fraction form
    491,442.19/752,419.13 = 752,419.13/x
  3. Step 3: Cross multiply
    491,442.19x = 752,419.13 × 752,419.13
  4. Step 4: Simplify right side
    491,442.19x = 566,134,539,665.77
  5. Step 5: Solve for x
    x = 566,134,539,665.77/491,442.19
  6. Step 6: Final answer
    x = 1,151,986.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.