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Finding the Third Proportional to 451,182 and 634,801

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Solution

The third proportional to 451,182 and 634,801 is: 893,148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,182 : 634,801 = 634,801 : x
  2. Step 2: Convert to fraction form
    451,182/634,801 = 634,801/x
  3. Step 3: Cross multiply
    451,182x = 634,801 × 634,801
  4. Step 4: Simplify right side
    451,182x = 402,972,309,601
  5. Step 5: Solve for x
    x = 402,972,309,601/451,182
  6. Step 6: Final answer
    x = 893,148.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.