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Finding the Third Proportional to 225,216 and 490,608

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Solution

The third proportional to 225,216 and 490,608 is: 1,068,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,216 : 490,608 = 490,608 : x
  2. Step 2: Convert to fraction form
    225,216/490,608 = 490,608/x
  3. Step 3: Cross multiply
    225,216x = 490,608 × 490,608
  4. Step 4: Simplify right side
    225,216x = 240,696,209,664
  5. Step 5: Solve for x
    x = 240,696,209,664/225,216
  6. Step 6: Final answer
    x = 1,068,734.95

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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.