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Finding the Third Proportional to 206,875.13 and 446,407.73

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Solution

The third proportional to 206,875.13 and 446,407.73 is: 963,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,875.13 : 446,407.73 = 446,407.73 : x
  2. Step 2: Convert to fraction form
    206,875.13/446,407.73 = 446,407.73/x
  3. Step 3: Cross multiply
    206,875.13x = 446,407.73 × 446,407.73
  4. Step 4: Simplify right side
    206,875.13x = 199,279,865,309.82
  5. Step 5: Solve for x
    x = 199,279,865,309.82/206,875.13
  6. Step 6: Final answer
    x = 963,285.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.