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Finding the Third Proportional to 597.13 and 922.31

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Solution

The third proportional to 597.13 and 922.31 is: 1,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.13 : 922.31 = 922.31 : x
  2. Step 2: Convert to fraction form
    597.13/922.31 = 922.31/x
  3. Step 3: Cross multiply
    597.13x = 922.31 × 922.31
  4. Step 4: Simplify right side
    597.13x = 850,660.35
  5. Step 5: Solve for x
    x = 850,660.35/597.13
  6. Step 6: Final answer
    x = 1,424.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.