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Finding the Third Proportional to 612 and 935.25

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Solution

The third proportional to 612 and 935.25 is: 1,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    612 : 935.25 = 935.25 : x
  2. Step 2: Convert to fraction form
    612/935.25 = 935.25/x
  3. Step 3: Cross multiply
    612x = 935.25 × 935.25
  4. Step 4: Simplify right side
    612x = 874,692.56
  5. Step 5: Solve for x
    x = 874,692.56/612
  6. Step 6: Final answer
    x = 1,429.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.