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Finding the Third Proportional to 449,214 and 679,182

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Solution

The third proportional to 449,214 and 679,182 is: 1,026,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,214 : 679,182 = 679,182 : x
  2. Step 2: Convert to fraction form
    449,214/679,182 = 679,182/x
  3. Step 3: Cross multiply
    449,214x = 679,182 × 679,182
  4. Step 4: Simplify right side
    449,214x = 461,288,189,124
  5. Step 5: Solve for x
    x = 461,288,189,124/449,214
  6. Step 6: Final answer
    x = 1,026,878.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.