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Finding the Third Proportional to 657.75 and 1,026.38

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Solution

The third proportional to 657.75 and 1,026.38 is: 1,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.75 : 1,026.38 = 1,026.38 : x
  2. Step 2: Convert to fraction form
    657.75/1,026.38 = 1,026.38/x
  3. Step 3: Cross multiply
    657.75x = 1,026.38 × 1,026.38
  4. Step 4: Simplify right side
    657.75x = 1,053,445.64
  5. Step 5: Solve for x
    x = 1,053,445.64/657.75
  6. Step 6: Final answer
    x = 1,601.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.