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Finding the Third Proportional to 388,126.50 and 588,755.25

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Solution

The third proportional to 388,126.50 and 588,755.25 is: 893,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,126.50 : 588,755.25 = 588,755.25 : x
  2. Step 2: Convert to fraction form
    388,126.50/588,755.25 = 588,755.25/x
  3. Step 3: Cross multiply
    388,126.50x = 588,755.25 × 588,755.25
  4. Step 4: Simplify right side
    388,126.50x = 346,632,744,402.56
  5. Step 5: Solve for x
    x = 346,632,744,402.56/388,126.50
  6. Step 6: Final answer
    x = 893,092.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.