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Finding the Third Proportional to 466,838 and 660,620

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Solution

The third proportional to 466,838 and 660,620 is: 934,839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,838 : 660,620 = 660,620 : x
  2. Step 2: Convert to fraction form
    466,838/660,620 = 660,620/x
  3. Step 3: Cross multiply
    466,838x = 660,620 × 660,620
  4. Step 4: Simplify right side
    466,838x = 436,418,784,400
  5. Step 5: Solve for x
    x = 436,418,784,400/466,838
  6. Step 6: Final answer
    x = 934,839.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.