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Finding the Third Proportional to 294 and 683.06

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Solution

The third proportional to 294 and 683.06 is: 1,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294 : 683.06 = 683.06 : x
  2. Step 2: Convert to fraction form
    294/683.06 = 683.06/x
  3. Step 3: Cross multiply
    294x = 683.06 × 683.06
  4. Step 4: Simplify right side
    294x = 466,574.38
  5. Step 5: Solve for x
    x = 466,574.38/294
  6. Step 6: Final answer
    x = 1,586.99

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.