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Finding the Third Proportional to 282,553.88 and 423,831.38

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Solution

The third proportional to 282,553.88 and 423,831.38 is: 635,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,553.88 : 423,831.38 = 423,831.38 : x
  2. Step 2: Convert to fraction form
    282,553.88/423,831.38 = 423,831.38/x
  3. Step 3: Cross multiply
    282,553.88x = 423,831.38 × 423,831.38
  4. Step 4: Simplify right side
    282,553.88x = 179,633,034,434.39
  5. Step 5: Solve for x
    x = 179,633,034,434.39/282,553.88
  6. Step 6: Final answer
    x = 635,747.91

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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.