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Finding the Third Proportional to 337.03 and 683.06

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Solution

The third proportional to 337.03 and 683.06 is: 1,384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.03 : 683.06 = 683.06 : x
  2. Step 2: Convert to fraction form
    337.03/683.06 = 683.06/x
  3. Step 3: Cross multiply
    337.03x = 683.06 × 683.06
  4. Step 4: Simplify right side
    337.03x = 466,574.38
  5. Step 5: Solve for x
    x = 466,574.38/337.03
  6. Step 6: Final answer
    x = 1,384.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.