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Finding the Third Proportional to 904,306.50 and 1,228,074

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Solution

The third proportional to 904,306.50 and 1,228,074 is: 1,667,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,306.50 : 1,228,074 = 1,228,074 : x
  2. Step 2: Convert to fraction form
    904,306.50/1,228,074 = 1,228,074/x
  3. Step 3: Cross multiply
    904,306.50x = 1,228,074 × 1,228,074
  4. Step 4: Simplify right side
    904,306.50x = 1,508,165,749,476
  5. Step 5: Solve for x
    x = 1,508,165,749,476/904,306.50
  6. Step 6: Final answer
    x = 1,667,759.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.