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Finding the Third Proportional to 675.19 and 1,397.06

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Solution

The third proportional to 675.19 and 1,397.06 is: 2,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.19 : 1,397.06 = 1,397.06 : x
  2. Step 2: Convert to fraction form
    675.19/1,397.06 = 1,397.06/x
  3. Step 3: Cross multiply
    675.19x = 1,397.06 × 1,397.06
  4. Step 4: Simplify right side
    675.19x = 1,951,783.63
  5. Step 5: Solve for x
    x = 1,951,783.63/675.19
  6. Step 6: Final answer
    x = 2,890.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.