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Finding the Third Proportional to 331,877.25 and 498,139.88

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Solution

The third proportional to 331,877.25 and 498,139.88 is: 747,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,877.25 : 498,139.88 = 498,139.88 : x
  2. Step 2: Convert to fraction form
    331,877.25/498,139.88 = 498,139.88/x
  3. Step 3: Cross multiply
    331,877.25x = 498,139.88 × 498,139.88
  4. Step 4: Simplify right side
    331,877.25x = 248,143,335,065.02
  5. Step 5: Solve for x
    x = 248,143,335,065.02/331,877.25
  6. Step 6: Final answer
    x = 747,696.13

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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.