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Finding the Third Proportional to 221,718.94 and 486,358.59

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Solution

The third proportional to 221,718.94 and 486,358.59 is: 1,066,867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,718.94 : 486,358.59 = 486,358.59 : x
  2. Step 2: Convert to fraction form
    221,718.94/486,358.59 = 486,358.59/x
  3. Step 3: Cross multiply
    221,718.94x = 486,358.59 × 486,358.59
  4. Step 4: Simplify right side
    221,718.94x = 236,544,681,714.48
  5. Step 5: Solve for x
    x = 236,544,681,714.48/221,718.94
  6. Step 6: Final answer
    x = 1,066,867.29

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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.