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Finding the Third Proportional to 229,871 and 453,847

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Solution

The third proportional to 229,871 and 453,847 is: 896,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,871 : 453,847 = 453,847 : x
  2. Step 2: Convert to fraction form
    229,871/453,847 = 453,847/x
  3. Step 3: Cross multiply
    229,871x = 453,847 × 453,847
  4. Step 4: Simplify right side
    229,871x = 205,977,099,409
  5. Step 5: Solve for x
    x = 205,977,099,409/229,871
  6. Step 6: Final answer
    x = 896,055.18

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.