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Finding the Third Proportional to 288,957.38 and 444,781.13

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Solution

The third proportional to 288,957.38 and 444,781.13 is: 684,634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,957.38 : 444,781.13 = 444,781.13 : x
  2. Step 2: Convert to fraction form
    288,957.38/444,781.13 = 444,781.13/x
  3. Step 3: Cross multiply
    288,957.38x = 444,781.13 × 444,781.13
  4. Step 4: Simplify right side
    288,957.38x = 197,830,249,156.27
  5. Step 5: Solve for x
    x = 197,830,249,156.27/288,957.38
  6. Step 6: Final answer
    x = 684,634.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.