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Finding the Third Proportional to 220,344 and 482,202

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Solution

The third proportional to 220,344 and 482,202 is: 1,055,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,344 : 482,202 = 482,202 : x
  2. Step 2: Convert to fraction form
    220,344/482,202 = 482,202/x
  3. Step 3: Cross multiply
    220,344x = 482,202 × 482,202
  4. Step 4: Simplify right side
    220,344x = 232,518,768,804
  5. Step 5: Solve for x
    x = 232,518,768,804/220,344
  6. Step 6: Final answer
    x = 1,055,253.46

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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.