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Finding the Third Proportional to 388,189.13 and 595,837.69

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Solution

The third proportional to 388,189.13 and 595,837.69 is: 914,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,189.13 : 595,837.69 = 595,837.69 : x
  2. Step 2: Convert to fraction form
    388,189.13/595,837.69 = 595,837.69/x
  3. Step 3: Cross multiply
    388,189.13x = 595,837.69 × 595,837.69
  4. Step 4: Simplify right side
    388,189.13x = 355,022,549,845.35
  5. Step 5: Solve for x
    x = 355,022,549,845.35/388,189.13
  6. Step 6: Final answer
    x = 914,560.78

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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.