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Finding the Third Proportional to 597.30 and 923.12

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Solution

The third proportional to 597.30 and 923.12 is: 1,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.30 : 923.12 = 923.12 : x
  2. Step 2: Convert to fraction form
    597.30/923.12 = 923.12/x
  3. Step 3: Cross multiply
    597.30x = 923.12 × 923.12
  4. Step 4: Simplify right side
    597.30x = 852,141.74
  5. Step 5: Solve for x
    x = 852,141.74/597.30
  6. Step 6: Final answer
    x = 1,426.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.