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Finding the Third Proportional to 221,352 and 469,305

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Solution

The third proportional to 221,352 and 469,305 is: 995,008.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,352 : 469,305 = 469,305 : x
  2. Step 2: Convert to fraction form
    221,352/469,305 = 469,305/x
  3. Step 3: Cross multiply
    221,352x = 469,305 × 469,305
  4. Step 4: Simplify right side
    221,352x = 220,247,183,025
  5. Step 5: Solve for x
    x = 220,247,183,025/221,352
  6. Step 6: Final answer
    x = 995,008.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.