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Finding the Third Proportional to 652,831.88 and 998,566.88

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Solution

The third proportional to 652,831.88 and 998,566.88 is: 1,527,400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,831.88 : 998,566.88 = 998,566.88 : x
  2. Step 2: Convert to fraction form
    652,831.88/998,566.88 = 998,566.88/x
  3. Step 3: Cross multiply
    652,831.88x = 998,566.88 × 998,566.88
  4. Step 4: Simplify right side
    652,831.88x = 997,135,803,847.27
  5. Step 5: Solve for x
    x = 997,135,803,847.27/652,831.88
  6. Step 6: Final answer
    x = 1,527,400.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.