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Finding the Third Proportional to 671.06 and 1,005.47

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Solution

The third proportional to 671.06 and 1,005.47 is: 1,506.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.06 : 1,005.47 = 1,005.47 : x
  2. Step 2: Convert to fraction form
    671.06/1,005.47 = 1,005.47/x
  3. Step 3: Cross multiply
    671.06x = 1,005.47 × 1,005.47
  4. Step 4: Simplify right side
    671.06x = 1,010,967.41
  5. Step 5: Solve for x
    x = 1,010,967.41/671.06
  6. Step 6: Final answer
    x = 1,506.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.