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Finding the Third Proportional to 672.38 and 973.31

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Solution

The third proportional to 672.38 and 973.31 is: 1,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.38 : 973.31 = 973.31 : x
  2. Step 2: Convert to fraction form
    672.38/973.31 = 973.31/x
  3. Step 3: Cross multiply
    672.38x = 973.31 × 973.31
  4. Step 4: Simplify right side
    672.38x = 947,337.22
  5. Step 5: Solve for x
    x = 947,337.22/672.38
  6. Step 6: Final answer
    x = 1,408.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.