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Finding the Third Proportional to 900.94 and 1,324.88

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Solution

The third proportional to 900.94 and 1,324.88 is: 1,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.94 : 1,324.88 = 1,324.88 : x
  2. Step 2: Convert to fraction form
    900.94/1,324.88 = 1,324.88/x
  3. Step 3: Cross multiply
    900.94x = 1,324.88 × 1,324.88
  4. Step 4: Simplify right side
    900.94x = 1,755,293.77
  5. Step 5: Solve for x
    x = 1,755,293.77/900.94
  6. Step 6: Final answer
    x = 1,948.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.