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Finding the Third Proportional to 491,437.13 and 736,426.69

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Solution

The third proportional to 491,437.13 and 736,426.69 is: 1,103,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,437.13 : 736,426.69 = 736,426.69 : x
  2. Step 2: Convert to fraction form
    491,437.13/736,426.69 = 736,426.69/x
  3. Step 3: Cross multiply
    491,437.13x = 736,426.69 × 736,426.69
  4. Step 4: Simplify right side
    491,437.13x = 542,324,266,062.22
  5. Step 5: Solve for x
    x = 542,324,266,062.22/491,437.13
  6. Step 6: Final answer
    x = 1,103,547.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.