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Finding the Third Proportional to 673.73 and 1,006.45

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Solution

The third proportional to 673.73 and 1,006.45 is: 1,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.73 : 1,006.45 = 1,006.45 : x
  2. Step 2: Convert to fraction form
    673.73/1,006.45 = 1,006.45/x
  3. Step 3: Cross multiply
    673.73x = 1,006.45 × 1,006.45
  4. Step 4: Simplify right side
    673.73x = 1,012,947.89
  5. Step 5: Solve for x
    x = 1,012,947.89/673.73
  6. Step 6: Final answer
    x = 1,503.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.