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Finding the Third Proportional to 220,488 and 482,991

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Solution

The third proportional to 220,488 and 482,991 is: 1,058,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,488 : 482,991 = 482,991 : x
  2. Step 2: Convert to fraction form
    220,488/482,991 = 482,991/x
  3. Step 3: Cross multiply
    220,488x = 482,991 × 482,991
  4. Step 4: Simplify right side
    220,488x = 233,280,306,081
  5. Step 5: Solve for x
    x = 233,280,306,081/220,488
  6. Step 6: Final answer
    x = 1,058,018.15

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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.