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Finding the Third Proportional to 297,110 and 641,562

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Solution

The third proportional to 297,110 and 641,562 is: 1,385,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,110 : 641,562 = 641,562 : x
  2. Step 2: Convert to fraction form
    297,110/641,562 = 641,562/x
  3. Step 3: Cross multiply
    297,110x = 641,562 × 641,562
  4. Step 4: Simplify right side
    297,110x = 411,601,799,844
  5. Step 5: Solve for x
    x = 411,601,799,844/297,110
  6. Step 6: Final answer
    x = 1,385,351.55

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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.