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Finding the Third Proportional to 221,404 and 458,563

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Solution

The third proportional to 221,404 and 458,563 is: 949,757.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,404 : 458,563 = 458,563 : x
  2. Step 2: Convert to fraction form
    221,404/458,563 = 458,563/x
  3. Step 3: Cross multiply
    221,404x = 458,563 × 458,563
  4. Step 4: Simplify right side
    221,404x = 210,280,024,969
  5. Step 5: Solve for x
    x = 210,280,024,969/221,404
  6. Step 6: Final answer
    x = 949,757.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.