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Finding the Third Proportional to 677,306.50 and 928,778.50

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Solution

The third proportional to 677,306.50 and 928,778.50 is: 1,273,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,306.50 : 928,778.50 = 928,778.50 : x
  2. Step 2: Convert to fraction form
    677,306.50/928,778.50 = 928,778.50/x
  3. Step 3: Cross multiply
    677,306.50x = 928,778.50 × 928,778.50
  4. Step 4: Simplify right side
    677,306.50x = 862,629,502,062.25
  5. Step 5: Solve for x
    x = 862,629,502,062.25/677,306.50
  6. Step 6: Final answer
    x = 1,273,617.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.