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Finding the Third Proportional to 185,590.13 and 406,650.38

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Solution

The third proportional to 185,590.13 and 406,650.38 is: 891,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,590.13 : 406,650.38 = 406,650.38 : x
  2. Step 2: Convert to fraction form
    185,590.13/406,650.38 = 406,650.38/x
  3. Step 3: Cross multiply
    185,590.13x = 406,650.38 × 406,650.38
  4. Step 4: Simplify right side
    185,590.13x = 165,364,527,487.64
  5. Step 5: Solve for x
    x = 165,364,527,487.64/185,590.13
  6. Step 6: Final answer
    x = 891,020.08

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