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Finding the Third Proportional to 297,960.19 and 611,605.69

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Solution

The third proportional to 297,960.19 and 611,605.69 is: 1,255,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,960.19 : 611,605.69 = 611,605.69 : x
  2. Step 2: Convert to fraction form
    297,960.19/611,605.69 = 611,605.69/x
  3. Step 3: Cross multiply
    297,960.19x = 611,605.69 × 611,605.69
  4. Step 4: Simplify right side
    297,960.19x = 374,061,516,982.35
  5. Step 5: Solve for x
    x = 374,061,516,982.35/297,960.19
  6. Step 6: Final answer
    x = 1,255,407.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.