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Finding the Third Proportional to 461,643 and 690,620

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Solution

The third proportional to 461,643 and 690,620 is: 1,033,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,643 : 690,620 = 690,620 : x
  2. Step 2: Convert to fraction form
    461,643/690,620 = 690,620/x
  3. Step 3: Cross multiply
    461,643x = 690,620 × 690,620
  4. Step 4: Simplify right side
    461,643x = 476,955,984,400
  5. Step 5: Solve for x
    x = 476,955,984,400/461,643
  6. Step 6: Final answer
    x = 1,033,170.62

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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.