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Finding the Third Proportional to 370,068 and 491,982

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Solution

The third proportional to 370,068 and 491,982 is: 654,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,068 : 491,982 = 491,982 : x
  2. Step 2: Convert to fraction form
    370,068/491,982 = 491,982/x
  3. Step 3: Cross multiply
    370,068x = 491,982 × 491,982
  4. Step 4: Simplify right side
    370,068x = 242,046,288,324
  5. Step 5: Solve for x
    x = 242,046,288,324/370,068
  6. Step 6: Final answer
    x = 654,058.95

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.