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Finding the Third Proportional to 461,646 and 690,624

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Solution

The third proportional to 461,646 and 690,624 is: 1,033,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,646 : 690,624 = 690,624 : x
  2. Step 2: Convert to fraction form
    461,646/690,624 = 690,624/x
  3. Step 3: Cross multiply
    461,646x = 690,624 × 690,624
  4. Step 4: Simplify right side
    461,646x = 476,961,509,376
  5. Step 5: Solve for x
    x = 476,961,509,376/461,646
  6. Step 6: Final answer
    x = 1,033,175.87

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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.