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Finding the Third Proportional to 673.95 and 910.54

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Solution

The third proportional to 673.95 and 910.54 is: 1,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.95 : 910.54 = 910.54 : x
  2. Step 2: Convert to fraction form
    673.95/910.54 = 910.54/x
  3. Step 3: Cross multiply
    673.95x = 910.54 × 910.54
  4. Step 4: Simplify right side
    673.95x = 829,079.61
  5. Step 5: Solve for x
    x = 829,079.61/673.95
  6. Step 6: Final answer
    x = 1,230.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.