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Finding the Third Proportional to 502,034.63 and 754,147.13

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Solution

The third proportional to 502,034.63 and 754,147.13 is: 1,132,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,034.63 : 754,147.13 = 754,147.13 : x
  2. Step 2: Convert to fraction form
    502,034.63/754,147.13 = 754,147.13/x
  3. Step 3: Cross multiply
    502,034.63x = 754,147.13 × 754,147.13
  4. Step 4: Simplify right side
    502,034.63x = 568,737,886,145.77
  5. Step 5: Solve for x
    x = 568,737,886,145.77/502,034.63
  6. Step 6: Final answer
    x = 1,132,865.86

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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.