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Finding the Third Proportional to 221,562 and 483,225

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Solution

The third proportional to 221,562 and 483,225 is: 1,053,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,562 : 483,225 = 483,225 : x
  2. Step 2: Convert to fraction form
    221,562/483,225 = 483,225/x
  3. Step 3: Cross multiply
    221,562x = 483,225 × 483,225
  4. Step 4: Simplify right side
    221,562x = 233,506,400,625
  5. Step 5: Solve for x
    x = 233,506,400,625/221,562
  6. Step 6: Final answer
    x = 1,053,909.97

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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.