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Finding the Third Proportional to 328.13 and 683.06

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Solution

The third proportional to 328.13 and 683.06 is: 1,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.13 : 683.06 = 683.06 : x
  2. Step 2: Convert to fraction form
    328.13/683.06 = 683.06/x
  3. Step 3: Cross multiply
    328.13x = 683.06 × 683.06
  4. Step 4: Simplify right side
    328.13x = 466,574.38
  5. Step 5: Solve for x
    x = 466,574.38/328.13
  6. Step 6: Final answer
    x = 1,421.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.