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Finding the Third Proportional to 340,291.13 and 502,660.69

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Solution

The third proportional to 340,291.13 and 502,660.69 is: 742,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,291.13 : 502,660.69 = 502,660.69 : x
  2. Step 2: Convert to fraction form
    340,291.13/502,660.69 = 502,660.69/x
  3. Step 3: Cross multiply
    340,291.13x = 502,660.69 × 502,660.69
  4. Step 4: Simplify right side
    340,291.13x = 252,667,766,757.97
  5. Step 5: Solve for x
    x = 252,667,766,757.97/340,291.13
  6. Step 6: Final answer
    x = 742,504.72

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.