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Finding the Third Proportional to 421.31 and 923.06

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Solution

The third proportional to 421.31 and 923.06 is: 2,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.31 : 923.06 = 923.06 : x
  2. Step 2: Convert to fraction form
    421.31/923.06 = 923.06/x
  3. Step 3: Cross multiply
    421.31x = 923.06 × 923.06
  4. Step 4: Simplify right side
    421.31x = 852,044.38
  5. Step 5: Solve for x
    x = 852,044.38/421.31
  6. Step 6: Final answer
    x = 2,022.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.