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Finding the Third Proportional to 425 and 610

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Solution

The third proportional to 425 and 610 is: 875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    425 : 610 = 610 : x
  2. Step 2: Convert to fraction form
    425/610 = 610/x
  3. Step 3: Cross multiply
    425x = 610 × 610
  4. Step 4: Simplify right side
    425x = 372,100
  5. Step 5: Solve for x
    x = 372,100/425
  6. Step 6: Final answer
    x = 875.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.