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Finding the Third Proportional to 190,726.50 and 406,779

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Solution

The third proportional to 190,726.50 and 406,779 is: 867,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,726.50 : 406,779 = 406,779 : x
  2. Step 2: Convert to fraction form
    190,726.50/406,779 = 406,779/x
  3. Step 3: Cross multiply
    190,726.50x = 406,779 × 406,779
  4. Step 4: Simplify right side
    190,726.50x = 165,469,154,841
  5. Step 5: Solve for x
    x = 165,469,154,841/190,726.50
  6. Step 6: Final answer
    x = 867,572.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.