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Finding the Third Proportional to 610.09 and 1,330.63

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Solution

The third proportional to 610.09 and 1,330.63 is: 2,902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.09 : 1,330.63 = 1,330.63 : x
  2. Step 2: Convert to fraction form
    610.09/1,330.63 = 1,330.63/x
  3. Step 3: Cross multiply
    610.09x = 1,330.63 × 1,330.63
  4. Step 4: Simplify right side
    610.09x = 1,770,562.89
  5. Step 5: Solve for x
    x = 1,770,562.89/610.09
  6. Step 6: Final answer
    x = 2,902.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.