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Finding the Third Proportional to 934.13 and 1,465.31

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Solution

The third proportional to 934.13 and 1,465.31 is: 2,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.13 : 1,465.31 = 1,465.31 : x
  2. Step 2: Convert to fraction form
    934.13/1,465.31 = 1,465.31/x
  3. Step 3: Cross multiply
    934.13x = 1,465.31 × 1,465.31
  4. Step 4: Simplify right side
    934.13x = 2,147,140.72
  5. Step 5: Solve for x
    x = 2,147,140.72/934.13
  6. Step 6: Final answer
    x = 2,298.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.