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Finding the Third Proportional to 412,930.13 and 611,719.88

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Solution

The third proportional to 412,930.13 and 611,719.88 is: 906,209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,930.13 : 611,719.88 = 611,719.88 : x
  2. Step 2: Convert to fraction form
    412,930.13/611,719.88 = 611,719.88/x
  3. Step 3: Cross multiply
    412,930.13x = 611,719.88 × 611,719.88
  4. Step 4: Simplify right side
    412,930.13x = 374,201,205,470.02
  5. Step 5: Solve for x
    x = 374,201,205,470.02/412,930.13
  6. Step 6: Final answer
    x = 906,209.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.