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Finding the Third Proportional to 221,404.64 and 458,562.52

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Solution

The third proportional to 221,404.64 and 458,562.52 is: 949,752.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,404.64 : 458,562.52 = 458,562.52 : x
  2. Step 2: Convert to fraction form
    221,404.64/458,562.52 = 458,562.52/x
  3. Step 3: Cross multiply
    221,404.64x = 458,562.52 × 458,562.52
  4. Step 4: Simplify right side
    221,404.64x = 210,279,580,736.33
  5. Step 5: Solve for x
    x = 210,279,580,736.33/221,404.64
  6. Step 6: Final answer
    x = 949,752.36

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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.