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Finding the Third Proportional to 471,474 and 730,620

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Solution

The third proportional to 471,474 and 730,620 is: 1,132,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,474 : 730,620 = 730,620 : x
  2. Step 2: Convert to fraction form
    471,474/730,620 = 730,620/x
  3. Step 3: Cross multiply
    471,474x = 730,620 × 730,620
  4. Step 4: Simplify right side
    471,474x = 533,805,584,400
  5. Step 5: Solve for x
    x = 533,805,584,400/471,474
  6. Step 6: Final answer
    x = 1,132,205.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.