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Finding the Third Proportional to 224,856 and 490,320

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Solution

The third proportional to 224,856 and 490,320 is: 1,069,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,856 : 490,320 = 490,320 : x
  2. Step 2: Convert to fraction form
    224,856/490,320 = 490,320/x
  3. Step 3: Cross multiply
    224,856x = 490,320 × 490,320
  4. Step 4: Simplify right side
    224,856x = 240,413,702,400
  5. Step 5: Solve for x
    x = 240,413,702,400/224,856
  6. Step 6: Final answer
    x = 1,069,189.63

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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.