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Finding the Third Proportional to 221,565 and 483,230

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Solution

The third proportional to 221,565 and 483,230 is: 1,053,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,565 : 483,230 = 483,230 : x
  2. Step 2: Convert to fraction form
    221,565/483,230 = 483,230/x
  3. Step 3: Cross multiply
    221,565x = 483,230 × 483,230
  4. Step 4: Simplify right side
    221,565x = 233,511,232,900
  5. Step 5: Solve for x
    x = 233,511,232,900/221,565
  6. Step 6: Final answer
    x = 1,053,917.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.