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Finding the Third Proportional to 315.93 and 683.12

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Solution

The third proportional to 315.93 and 683.12 is: 1,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.93 : 683.12 = 683.12 : x
  2. Step 2: Convert to fraction form
    315.93/683.12 = 683.12/x
  3. Step 3: Cross multiply
    315.93x = 683.12 × 683.12
  4. Step 4: Simplify right side
    315.93x = 466,654.43
  5. Step 5: Solve for x
    x = 466,654.43/315.93
  6. Step 6: Final answer
    x = 1,477.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.