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Finding the Third Proportional to 315.84 and 511.73

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Solution

The third proportional to 315.84 and 511.73 is: 829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.84 : 511.73 = 511.73 : x
  2. Step 2: Convert to fraction form
    315.84/511.73 = 511.73/x
  3. Step 3: Cross multiply
    315.84x = 511.73 × 511.73
  4. Step 4: Simplify right side
    315.84x = 261,872.07
  5. Step 5: Solve for x
    x = 261,872.07/315.84
  6. Step 6: Final answer
    x = 829.12

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.