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Finding the Third Proportional to 229.38 and 586.94

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Solution

The third proportional to 229.38 and 586.94 is: 1,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.38 : 586.94 = 586.94 : x
  2. Step 2: Convert to fraction form
    229.38/586.94 = 586.94/x
  3. Step 3: Cross multiply
    229.38x = 586.94 × 586.94
  4. Step 4: Simplify right side
    229.38x = 344,495.63
  5. Step 5: Solve for x
    x = 344,495.63/229.38
  6. Step 6: Final answer
    x = 1,501.89

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.