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Finding the Third Proportional to 901.88 and 1,320.38

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Solution

The third proportional to 901.88 and 1,320.38 is: 1,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.88 : 1,320.38 = 1,320.38 : x
  2. Step 2: Convert to fraction form
    901.88/1,320.38 = 1,320.38/x
  3. Step 3: Cross multiply
    901.88x = 1,320.38 × 1,320.38
  4. Step 4: Simplify right side
    901.88x = 1,743,390.14
  5. Step 5: Solve for x
    x = 1,743,390.14/901.88
  6. Step 6: Final answer
    x = 1,933.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.