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Finding the Third Proportional to 908.93 and 1,346.27

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Solution

The third proportional to 908.93 and 1,346.27 is: 1,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.93 : 1,346.27 = 1,346.27 : x
  2. Step 2: Convert to fraction form
    908.93/1,346.27 = 1,346.27/x
  3. Step 3: Cross multiply
    908.93x = 1,346.27 × 1,346.27
  4. Step 4: Simplify right side
    908.93x = 1,812,452.17
  5. Step 5: Solve for x
    x = 1,812,452.17/908.93
  6. Step 6: Final answer
    x = 1,994.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.