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Finding the Third Proportional to 673.83 and 1,026.22

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Solution

The third proportional to 673.83 and 1,026.22 is: 1,562.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.83 : 1,026.22 = 1,026.22 : x
  2. Step 2: Convert to fraction form
    673.83/1,026.22 = 1,026.22/x
  3. Step 3: Cross multiply
    673.83x = 1,026.22 × 1,026.22
  4. Step 4: Simplify right side
    673.83x = 1,053,135.95
  5. Step 5: Solve for x
    x = 1,053,135.95/673.83
  6. Step 6: Final answer
    x = 1,562.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.