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Finding the Third Proportional to 230,755.50 and 500,877

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Solution

The third proportional to 230,755.50 and 500,877 is: 1,087,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,755.50 : 500,877 = 500,877 : x
  2. Step 2: Convert to fraction form
    230,755.50/500,877 = 500,877/x
  3. Step 3: Cross multiply
    230,755.50x = 500,877 × 500,877
  4. Step 4: Simplify right side
    230,755.50x = 250,877,769,129
  5. Step 5: Solve for x
    x = 250,877,769,129/230,755.50
  6. Step 6: Final answer
    x = 1,087,201.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.