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Finding the Third Proportional to 221,582 and 469,750

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Solution

The third proportional to 221,582 and 469,750 is: 995,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,582 : 469,750 = 469,750 : x
  2. Step 2: Convert to fraction form
    221,582/469,750 = 469,750/x
  3. Step 3: Cross multiply
    221,582x = 469,750 × 469,750
  4. Step 4: Simplify right side
    221,582x = 220,665,062,500
  5. Step 5: Solve for x
    x = 220,665,062,500/221,582
  6. Step 6: Final answer
    x = 995,861.86

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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.