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Finding the Third Proportional to 475,067.25 and 736,222.50

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Solution

The third proportional to 475,067.25 and 736,222.50 is: 1,140,940.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,067.25 : 736,222.50 = 736,222.50 : x
  2. Step 2: Convert to fraction form
    475,067.25/736,222.50 = 736,222.50/x
  3. Step 3: Cross multiply
    475,067.25x = 736,222.50 × 736,222.50
  4. Step 4: Simplify right side
    475,067.25x = 542,023,569,506.25
  5. Step 5: Solve for x
    x = 542,023,569,506.25/475,067.25
  6. Step 6: Final answer
    x = 1,140,940.72

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