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Finding the Third Proportional to 185,950 and 406,460

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Solution

The third proportional to 185,950 and 406,460 is: 888,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,950 : 406,460 = 406,460 : x
  2. Step 2: Convert to fraction form
    185,950/406,460 = 406,460/x
  3. Step 3: Cross multiply
    185,950x = 406,460 × 406,460
  4. Step 4: Simplify right side
    185,950x = 165,209,731,600
  5. Step 5: Solve for x
    x = 165,209,731,600/185,950
  6. Step 6: Final answer
    x = 888,463.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.