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Finding the Third Proportional to 350,831.25 and 543,013.88

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Solution

The third proportional to 350,831.25 and 543,013.88 is: 840,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,831.25 : 543,013.88 = 543,013.88 : x
  2. Step 2: Convert to fraction form
    350,831.25/543,013.88 = 543,013.88/x
  3. Step 3: Cross multiply
    350,831.25x = 543,013.88 × 543,013.88
  4. Step 4: Simplify right side
    350,831.25x = 294,864,068,442.52
  5. Step 5: Solve for x
    x = 294,864,068,442.52/350,831.25
  6. Step 6: Final answer
    x = 840,472.64

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Why These Related Problems?

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