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Finding the Third Proportional to 220,825.50 and 476,643

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Solution

The third proportional to 220,825.50 and 476,643 is: 1,028,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,825.50 : 476,643 = 476,643 : x
  2. Step 2: Convert to fraction form
    220,825.50/476,643 = 476,643/x
  3. Step 3: Cross multiply
    220,825.50x = 476,643 × 476,643
  4. Step 4: Simplify right side
    220,825.50x = 227,188,549,449
  5. Step 5: Solve for x
    x = 227,188,549,449/220,825.50
  6. Step 6: Final answer
    x = 1,028,814.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.