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Finding the Third Proportional to 313.72 and 497.15

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Solution

The third proportional to 313.72 and 497.15 is: 787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.72 : 497.15 = 497.15 : x
  2. Step 2: Convert to fraction form
    313.72/497.15 = 497.15/x
  3. Step 3: Cross multiply
    313.72x = 497.15 × 497.15
  4. Step 4: Simplify right side
    313.72x = 247,161.42
  5. Step 5: Solve for x
    x = 247,161.42/313.72
  6. Step 6: Final answer
    x = 787.85

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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.