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Finding the Third Proportional to 282.89 and 612.94

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Solution

The third proportional to 282.89 and 612.94 is: 1,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.89 : 612.94 = 612.94 : x
  2. Step 2: Convert to fraction form
    282.89/612.94 = 612.94/x
  3. Step 3: Cross multiply
    282.89x = 612.94 × 612.94
  4. Step 4: Simplify right side
    282.89x = 375,692.38
  5. Step 5: Solve for x
    x = 375,692.38/282.89
  6. Step 6: Final answer
    x = 1,328.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.