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Finding the Third Proportional to 187,009.13 and 411,379.50

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Solution

The third proportional to 187,009.13 and 411,379.50 is: 904,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,009.13 : 411,379.50 = 411,379.50 : x
  2. Step 2: Convert to fraction form
    187,009.13/411,379.50 = 411,379.50/x
  3. Step 3: Cross multiply
    187,009.13x = 411,379.50 × 411,379.50
  4. Step 4: Simplify right side
    187,009.13x = 169,233,093,020.25
  5. Step 5: Solve for x
    x = 169,233,093,020.25/187,009.13
  6. Step 6: Final answer
    x = 904,945.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.