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Finding the Third Proportional to 497.75 and 787.75

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Solution

The third proportional to 497.75 and 787.75 is: 1,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.75 : 787.75 = 787.75 : x
  2. Step 2: Convert to fraction form
    497.75/787.75 = 787.75/x
  3. Step 3: Cross multiply
    497.75x = 787.75 × 787.75
  4. Step 4: Simplify right side
    497.75x = 620,550.06
  5. Step 5: Solve for x
    x = 620,550.06/497.75
  6. Step 6: Final answer
    x = 1,246.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.