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Finding the Third Proportional to 597.06 and 922.17

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Solution

The third proportional to 597.06 and 922.17 is: 1,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.06 : 922.17 = 922.17 : x
  2. Step 2: Convert to fraction form
    597.06/922.17 = 922.17/x
  3. Step 3: Cross multiply
    597.06x = 922.17 × 922.17
  4. Step 4: Simplify right side
    597.06x = 850,390.16
  5. Step 5: Solve for x
    x = 850,390.16/597.06
  6. Step 6: Final answer
    x = 1,424.30

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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.