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Finding the Third Proportional to 425.46 and 585.88

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Solution

The third proportional to 425.46 and 585.88 is: 806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.46 : 585.88 = 585.88 : x
  2. Step 2: Convert to fraction form
    425.46/585.88 = 585.88/x
  3. Step 3: Cross multiply
    425.46x = 585.88 × 585.88
  4. Step 4: Simplify right side
    425.46x = 343,254.09
  5. Step 5: Solve for x
    x = 343,254.09/425.46
  6. Step 6: Final answer
    x = 806.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.