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Finding the Third Proportional to 334,749.38 and 502,854.75

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Solution

The third proportional to 334,749.38 and 502,854.75 is: 755,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,749.38 : 502,854.75 = 502,854.75 : x
  2. Step 2: Convert to fraction form
    334,749.38/502,854.75 = 502,854.75/x
  3. Step 3: Cross multiply
    334,749.38x = 502,854.75 × 502,854.75
  4. Step 4: Simplify right side
    334,749.38x = 252,862,899,597.56
  5. Step 5: Solve for x
    x = 252,862,899,597.56/334,749.38
  6. Step 6: Final answer
    x = 755,379.75

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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.