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Finding the Third Proportional to 619.50 and 925.97

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Solution

The third proportional to 619.50 and 925.97 is: 1,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.50 : 925.97 = 925.97 : x
  2. Step 2: Convert to fraction form
    619.50/925.97 = 925.97/x
  3. Step 3: Cross multiply
    619.50x = 925.97 × 925.97
  4. Step 4: Simplify right side
    619.50x = 857,418.13
  5. Step 5: Solve for x
    x = 857,418.13/619.50
  6. Step 6: Final answer
    x = 1,384.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.