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Finding the Third Proportional to 389,221.50 and 497,344.50

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Solution

The third proportional to 389,221.50 and 497,344.50 is: 635,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,221.50 : 497,344.50 = 497,344.50 : x
  2. Step 2: Convert to fraction form
    389,221.50/497,344.50 = 497,344.50/x
  3. Step 3: Cross multiply
    389,221.50x = 497,344.50 × 497,344.50
  4. Step 4: Simplify right side
    389,221.50x = 247,351,551,680.25
  5. Step 5: Solve for x
    x = 247,351,551,680.25/389,221.50
  6. Step 6: Final answer
    x = 635,503.31

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.