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Finding the Third Proportional to 604.73 and 1,324.71

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Solution

The third proportional to 604.73 and 1,324.71 is: 2,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.73 : 1,324.71 = 1,324.71 : x
  2. Step 2: Convert to fraction form
    604.73/1,324.71 = 1,324.71/x
  3. Step 3: Cross multiply
    604.73x = 1,324.71 × 1,324.71
  4. Step 4: Simplify right side
    604.73x = 1,754,866.83
  5. Step 5: Solve for x
    x = 1,754,866.83/604.73
  6. Step 6: Final answer
    x = 2,901.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.