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Finding the Third Proportional to 461,666 and 690,659

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Solution

The third proportional to 461,666 and 690,659 is: 1,033,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,666 : 690,659 = 690,659 : x
  2. Step 2: Convert to fraction form
    461,666/690,659 = 690,659/x
  3. Step 3: Cross multiply
    461,666x = 690,659 × 690,659
  4. Step 4: Simplify right side
    461,666x = 477,009,854,281
  5. Step 5: Solve for x
    x = 477,009,854,281/461,666
  6. Step 6: Final answer
    x = 1,033,235.83

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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.