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Finding the Third Proportional to 491,095.41 and 738,465.61

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Solution

The third proportional to 491,095.41 and 738,465.61 is: 1,110,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,095.41 : 738,465.61 = 738,465.61 : x
  2. Step 2: Convert to fraction form
    491,095.41/738,465.61 = 738,465.61/x
  3. Step 3: Cross multiply
    491,095.41x = 738,465.61 × 738,465.61
  4. Step 4: Simplify right side
    491,095.41x = 545,331,456,229.59
  5. Step 5: Solve for x
    x = 545,331,456,229.59/491,095.41
  6. Step 6: Final answer
    x = 1,110,438.93

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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.