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Finding the Third Proportional to 221,877 and 485,959.50

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Solution

The third proportional to 221,877 and 485,959.50 is: 1,064,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,877 : 485,959.50 = 485,959.50 : x
  2. Step 2: Convert to fraction form
    221,877/485,959.50 = 485,959.50/x
  3. Step 3: Cross multiply
    221,877x = 485,959.50 × 485,959.50
  4. Step 4: Simplify right side
    221,877x = 236,156,635,640.25
  5. Step 5: Solve for x
    x = 236,156,635,640.25/221,877
  6. Step 6: Final answer
    x = 1,064,358.34

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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.