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Finding the Third Proportional to 934.14 and 1,465.54

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Solution

The third proportional to 934.14 and 1,465.54 is: 2,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.14 : 1,465.54 = 1,465.54 : x
  2. Step 2: Convert to fraction form
    934.14/1,465.54 = 1,465.54/x
  3. Step 3: Cross multiply
    934.14x = 1,465.54 × 1,465.54
  4. Step 4: Simplify right side
    934.14x = 2,147,810.47
  5. Step 5: Solve for x
    x = 2,147,810.47/934.14
  6. Step 6: Final answer
    x = 2,299.25

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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.