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Finding the Third Proportional to 462,008 and 691,131

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Solution

The third proportional to 462,008 and 691,131 is: 1,033,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,008 : 691,131 = 691,131 : x
  2. Step 2: Convert to fraction form
    462,008/691,131 = 691,131/x
  3. Step 3: Cross multiply
    462,008x = 691,131 × 691,131
  4. Step 4: Simplify right side
    462,008x = 477,662,059,161
  5. Step 5: Solve for x
    x = 477,662,059,161/462,008
  6. Step 6: Final answer
    x = 1,033,882.66

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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.