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Finding the Third Proportional to 218,712 and 454,874.25

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Solution

The third proportional to 218,712 and 454,874.25 is: 946,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,712 : 454,874.25 = 454,874.25 : x
  2. Step 2: Convert to fraction form
    218,712/454,874.25 = 454,874.25/x
  3. Step 3: Cross multiply
    218,712x = 454,874.25 × 454,874.25
  4. Step 4: Simplify right side
    218,712x = 206,910,583,313.06
  5. Step 5: Solve for x
    x = 206,910,583,313.06/218,712
  6. Step 6: Final answer
    x = 946,041.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.