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Finding the Third Proportional to 630.28 and 1,382.06

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Solution

The third proportional to 630.28 and 1,382.06 is: 3,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.28 : 1,382.06 = 1,382.06 : x
  2. Step 2: Convert to fraction form
    630.28/1,382.06 = 1,382.06/x
  3. Step 3: Cross multiply
    630.28x = 1,382.06 × 1,382.06
  4. Step 4: Simplify right side
    630.28x = 1,910,096.75
  5. Step 5: Solve for x
    x = 1,910,096.75/630.28
  6. Step 6: Final answer
    x = 3,030.55

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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.