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Finding the Third Proportional to 297,828 and 642,309

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Solution

The third proportional to 297,828 and 642,309 is: 1,385,231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,828 : 642,309 = 642,309 : x
  2. Step 2: Convert to fraction form
    297,828/642,309 = 642,309/x
  3. Step 3: Cross multiply
    297,828x = 642,309 × 642,309
  4. Step 4: Simplify right side
    297,828x = 412,560,851,481
  5. Step 5: Solve for x
    x = 412,560,851,481/297,828
  6. Step 6: Final answer
    x = 1,385,231.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.