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Finding the Third Proportional to 578.81 and 923.06

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Solution

The third proportional to 578.81 and 923.06 is: 1,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.81 : 923.06 = 923.06 : x
  2. Step 2: Convert to fraction form
    578.81/923.06 = 923.06/x
  3. Step 3: Cross multiply
    578.81x = 923.06 × 923.06
  4. Step 4: Simplify right side
    578.81x = 852,044.38
  5. Step 5: Solve for x
    x = 852,044.38/578.81
  6. Step 6: Final answer
    x = 1,472.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.