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Finding the Third Proportional to 206,582 and 444,785

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Solution

The third proportional to 206,582 and 444,785 is: 957,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,582 : 444,785 = 444,785 : x
  2. Step 2: Convert to fraction form
    206,582/444,785 = 444,785/x
  3. Step 3: Cross multiply
    206,582x = 444,785 × 444,785
  4. Step 4: Simplify right side
    206,582x = 197,833,696,225
  5. Step 5: Solve for x
    x = 197,833,696,225/206,582
  6. Step 6: Final answer
    x = 957,652.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.