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Finding the Third Proportional to 610.41 and 1,335.69

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Solution

The third proportional to 610.41 and 1,335.69 is: 2,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.41 : 1,335.69 = 1,335.69 : x
  2. Step 2: Convert to fraction form
    610.41/1,335.69 = 1,335.69/x
  3. Step 3: Cross multiply
    610.41x = 1,335.69 × 1,335.69
  4. Step 4: Simplify right side
    610.41x = 1,784,061.10
  5. Step 5: Solve for x
    x = 1,784,061.10/610.41
  6. Step 6: Final answer
    x = 2,922.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.