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Finding the Third Proportional to 221,229 and 482,642.25

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Solution

The third proportional to 221,229 and 482,642.25 is: 1,052,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,229 : 482,642.25 = 482,642.25 : x
  2. Step 2: Convert to fraction form
    221,229/482,642.25 = 482,642.25/x
  3. Step 3: Cross multiply
    221,229x = 482,642.25 × 482,642.25
  4. Step 4: Simplify right side
    221,229x = 232,943,541,485.06
  5. Step 5: Solve for x
    x = 232,943,541,485.06/221,229
  6. Step 6: Final answer
    x = 1,052,952.11

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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.