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Finding the Third Proportional to 425 and 597

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Solution

The third proportional to 425 and 597 is: 838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    425 : 597 = 597 : x
  2. Step 2: Convert to fraction form
    425/597 = 597/x
  3. Step 3: Cross multiply
    425x = 597 × 597
  4. Step 4: Simplify right side
    425x = 356,409
  5. Step 5: Solve for x
    x = 356,409/425
  6. Step 6: Final answer
    x = 838.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.