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Finding the Third Proportional to 612.56 and 930.94

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Solution

The third proportional to 612.56 and 930.94 is: 1,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.56 : 930.94 = 930.94 : x
  2. Step 2: Convert to fraction form
    612.56/930.94 = 930.94/x
  3. Step 3: Cross multiply
    612.56x = 930.94 × 930.94
  4. Step 4: Simplify right side
    612.56x = 866,644.63
  5. Step 5: Solve for x
    x = 866,644.63/612.56
  6. Step 6: Final answer
    x = 1,414.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.