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Finding the Third Proportional to 221,229 and 482,643

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Solution

The third proportional to 221,229 and 482,643 is: 1,052,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,229 : 482,643 = 482,643 : x
  2. Step 2: Convert to fraction form
    221,229/482,643 = 482,643/x
  3. Step 3: Cross multiply
    221,229x = 482,643 × 482,643
  4. Step 4: Simplify right side
    221,229x = 232,944,265,449
  5. Step 5: Solve for x
    x = 232,944,265,449/221,229
  6. Step 6: Final answer
    x = 1,052,955.38

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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.