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Finding the Third Proportional to 221,545.13 and 486,015.19

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Solution

The third proportional to 221,545.13 and 486,015.19 is: 1,066,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,545.13 : 486,015.19 = 486,015.19 : x
  2. Step 2: Convert to fraction form
    221,545.13/486,015.19 = 486,015.19/x
  3. Step 3: Cross multiply
    221,545.13x = 486,015.19 × 486,015.19
  4. Step 4: Simplify right side
    221,545.13x = 236,210,762,480.66
  5. Step 5: Solve for x
    x = 236,210,762,480.66/221,545.13
  6. Step 6: Final answer
    x = 1,066,197.07

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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.