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Finding the Third Proportional to 384,328.50 and 532,902

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Solution

The third proportional to 384,328.50 and 532,902 is: 738,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,328.50 : 532,902 = 532,902 : x
  2. Step 2: Convert to fraction form
    384,328.50/532,902 = 532,902/x
  3. Step 3: Cross multiply
    384,328.50x = 532,902 × 532,902
  4. Step 4: Simplify right side
    384,328.50x = 283,984,541,604
  5. Step 5: Solve for x
    x = 283,984,541,604/384,328.50
  6. Step 6: Final answer
    x = 738,910.96

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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.