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Finding the Third Proportional to 462,031 and 691,167

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Solution

The third proportional to 462,031 and 691,167 is: 1,033,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,031 : 691,167 = 691,167 : x
  2. Step 2: Convert to fraction form
    462,031/691,167 = 691,167/x
  3. Step 3: Cross multiply
    462,031x = 691,167 × 691,167
  4. Step 4: Simplify right side
    462,031x = 477,711,821,889
  5. Step 5: Solve for x
    x = 477,711,821,889/462,031
  6. Step 6: Final answer
    x = 1,033,938.90

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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.