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Finding the Third Proportional to 424,318.50 and 915,067.13

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Solution

The third proportional to 424,318.50 and 915,067.13 is: 1,973,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,318.50 : 915,067.13 = 915,067.13 : x
  2. Step 2: Convert to fraction form
    424,318.50/915,067.13 = 915,067.13/x
  3. Step 3: Cross multiply
    424,318.50x = 915,067.13 × 915,067.13
  4. Step 4: Simplify right side
    424,318.50x = 837,347,843,255.77
  5. Step 5: Solve for x
    x = 837,347,843,255.77/424,318.50
  6. Step 6: Final answer
    x = 1,973,394.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.