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Finding the Third Proportional to 338,701.50 and 498,695.25

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Solution

The third proportional to 338,701.50 and 498,695.25 is: 734,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,701.50 : 498,695.25 = 498,695.25 : x
  2. Step 2: Convert to fraction form
    338,701.50/498,695.25 = 498,695.25/x
  3. Step 3: Cross multiply
    338,701.50x = 498,695.25 × 498,695.25
  4. Step 4: Simplify right side
    338,701.50x = 248,696,952,372.56
  5. Step 5: Solve for x
    x = 248,696,952,372.56/338,701.50
  6. Step 6: Final answer
    x = 734,265.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.