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Finding the Third Proportional to 388,074.38 and 588,672.56

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Solution

The third proportional to 388,074.38 and 588,672.56 is: 892,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,074.38 : 588,672.56 = 588,672.56 : x
  2. Step 2: Convert to fraction form
    388,074.38/588,672.56 = 588,672.56/x
  3. Step 3: Cross multiply
    388,074.38x = 588,672.56 × 588,672.56
  4. Step 4: Simplify right side
    388,074.38x = 346,535,385,840.32
  5. Step 5: Solve for x
    x = 346,535,385,840.32/388,074.38
  6. Step 6: Final answer
    x = 892,961.27

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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.