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Finding the Third Proportional to 188,539 and 406,597

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Solution

The third proportional to 188,539 and 406,597 is: 876,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,539 : 406,597 = 406,597 : x
  2. Step 2: Convert to fraction form
    188,539/406,597 = 406,597/x
  3. Step 3: Cross multiply
    188,539x = 406,597 × 406,597
  4. Step 4: Simplify right side
    188,539x = 165,321,120,409
  5. Step 5: Solve for x
    x = 165,321,120,409/188,539
  6. Step 6: Final answer
    x = 876,853.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.