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Finding the Third Proportional to 634.13 and 933

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Solution

The third proportional to 634.13 and 933 is: 1,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.13 : 933 = 933 : x
  2. Step 2: Convert to fraction form
    634.13/933 = 933/x
  3. Step 3: Cross multiply
    634.13x = 933 × 933
  4. Step 4: Simplify right side
    634.13x = 870,489
  5. Step 5: Solve for x
    x = 870,489/634.13
  6. Step 6: Final answer
    x = 1,372.74

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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.