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Finding the Third Proportional to 461,668 and 690,662

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Solution

The third proportional to 461,668 and 690,662 is: 1,033,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,668 : 690,662 = 690,662 : x
  2. Step 2: Convert to fraction form
    461,668/690,662 = 690,662/x
  3. Step 3: Cross multiply
    461,668x = 690,662 × 690,662
  4. Step 4: Simplify right side
    461,668x = 477,013,998,244
  5. Step 5: Solve for x
    x = 477,013,998,244/461,668
  6. Step 6: Final answer
    x = 1,033,240.33

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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.