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Finding the Third Proportional to 673.75 and 1,040.88

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Solution

The third proportional to 673.75 and 1,040.88 is: 1,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.75 : 1,040.88 = 1,040.88 : x
  2. Step 2: Convert to fraction form
    673.75/1,040.88 = 1,040.88/x
  3. Step 3: Cross multiply
    673.75x = 1,040.88 × 1,040.88
  4. Step 4: Simplify right side
    673.75x = 1,083,420.77
  5. Step 5: Solve for x
    x = 1,083,420.77/673.75
  6. Step 6: Final answer
    x = 1,608.05

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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.