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Finding the Third Proportional to 597.59 and 922.96

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Solution

The third proportional to 597.59 and 922.96 is: 1,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.59 : 922.96 = 922.96 : x
  2. Step 2: Convert to fraction form
    597.59/922.96 = 922.96/x
  3. Step 3: Cross multiply
    597.59x = 922.96 × 922.96
  4. Step 4: Simplify right side
    597.59x = 851,849.68
  5. Step 5: Solve for x
    x = 851,849.68/597.59
  6. Step 6: Final answer
    x = 1,425.48

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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.