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Finding the Third Proportional to 224,122 and 485,578

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Solution

The third proportional to 224,122 and 485,578 is: 1,052,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,122 : 485,578 = 485,578 : x
  2. Step 2: Convert to fraction form
    224,122/485,578 = 485,578/x
  3. Step 3: Cross multiply
    224,122x = 485,578 × 485,578
  4. Step 4: Simplify right side
    224,122x = 235,785,994,084
  5. Step 5: Solve for x
    x = 235,785,994,084/224,122
  6. Step 6: Final answer
    x = 1,052,043.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.