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Finding the Third Proportional to 221,482 and 483,562

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Solution

The third proportional to 221,482 and 483,562 is: 1,055,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,482 : 483,562 = 483,562 : x
  2. Step 2: Convert to fraction form
    221,482/483,562 = 483,562/x
  3. Step 3: Cross multiply
    221,482x = 483,562 × 483,562
  4. Step 4: Simplify right side
    221,482x = 233,832,207,844
  5. Step 5: Solve for x
    x = 233,832,207,844/221,482
  6. Step 6: Final answer
    x = 1,055,761.68

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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.