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Finding the Third Proportional to 384,324.75 and 532,897.88

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Solution

The third proportional to 384,324.75 and 532,897.88 is: 738,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,324.75 : 532,897.88 = 532,897.88 : x
  2. Step 2: Convert to fraction form
    384,324.75/532,897.88 = 532,897.88/x
  3. Step 3: Cross multiply
    384,324.75x = 532,897.88 × 532,897.88
  4. Step 4: Simplify right side
    384,324.75x = 283,980,145,179.52
  5. Step 5: Solve for x
    x = 283,980,145,179.52/384,324.75
  6. Step 6: Final answer
    x = 738,906.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.