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Finding the Third Proportional to 296,489 and 634,801

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Solution

The third proportional to 296,489 and 634,801 is: 1,359,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,489 : 634,801 = 634,801 : x
  2. Step 2: Convert to fraction form
    296,489/634,801 = 634,801/x
  3. Step 3: Cross multiply
    296,489x = 634,801 × 634,801
  4. Step 4: Simplify right side
    296,489x = 402,972,309,601
  5. Step 5: Solve for x
    x = 402,972,309,601/296,489
  6. Step 6: Final answer
    x = 1,359,147.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.