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Finding the Third Proportional to 221,788.13 and 486,091.13

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Solution

The third proportional to 221,788.13 and 486,091.13 is: 1,065,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,788.13 : 486,091.13 = 486,091.13 : x
  2. Step 2: Convert to fraction form
    221,788.13/486,091.13 = 486,091.13/x
  3. Step 3: Cross multiply
    221,788.13x = 486,091.13 × 486,091.13
  4. Step 4: Simplify right side
    221,788.13x = 236,284,581,803.77
  5. Step 5: Solve for x
    x = 236,284,581,803.77/221,788.13
  6. Step 6: Final answer
    x = 1,065,361.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.