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Finding the Third Proportional to 597.19 and 922.41

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Solution

The third proportional to 597.19 and 922.41 is: 1,424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.19 : 922.41 = 922.41 : x
  2. Step 2: Convert to fraction form
    597.19/922.41 = 922.41/x
  3. Step 3: Cross multiply
    597.19x = 922.41 × 922.41
  4. Step 4: Simplify right side
    597.19x = 850,833.29
  5. Step 5: Solve for x
    x = 850,833.29/597.19
  6. Step 6: Final answer
    x = 1,424.73

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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.