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Finding the Third Proportional to 673.41 and 1,034.72

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Solution

The third proportional to 673.41 and 1,034.72 is: 1,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.41 : 1,034.72 = 1,034.72 : x
  2. Step 2: Convert to fraction form
    673.41/1,034.72 = 1,034.72/x
  3. Step 3: Cross multiply
    673.41x = 1,034.72 × 1,034.72
  4. Step 4: Simplify right side
    673.41x = 1,070,642.89
  5. Step 5: Solve for x
    x = 1,070,642.89/673.41
  6. Step 6: Final answer
    x = 1,589.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.