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Finding the Third Proportional to 462,042 and 691,182

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Solution

The third proportional to 462,042 and 691,182 is: 1,033,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,042 : 691,182 = 691,182 : x
  2. Step 2: Convert to fraction form
    462,042/691,182 = 691,182/x
  3. Step 3: Cross multiply
    462,042x = 691,182 × 691,182
  4. Step 4: Simplify right side
    462,042x = 477,732,557,124
  5. Step 5: Solve for x
    x = 477,732,557,124/462,042
  6. Step 6: Final answer
    x = 1,033,959.16

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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.