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Finding the Third Proportional to 185,573 and 406,612

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Solution

The third proportional to 185,573 and 406,612 is: 890,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,573 : 406,612 = 406,612 : x
  2. Step 2: Convert to fraction form
    185,573/406,612 = 406,612/x
  3. Step 3: Cross multiply
    185,573x = 406,612 × 406,612
  4. Step 4: Simplify right side
    185,573x = 165,333,318,544
  5. Step 5: Solve for x
    x = 165,333,318,544/185,573
  6. Step 6: Final answer
    x = 890,934.13

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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.