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Finding the Third Proportional to 414.25 and 590.25

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Solution

The third proportional to 414.25 and 590.25 is: 841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.25 : 590.25 = 590.25 : x
  2. Step 2: Convert to fraction form
    414.25/590.25 = 590.25/x
  3. Step 3: Cross multiply
    414.25x = 590.25 × 590.25
  4. Step 4: Simplify right side
    414.25x = 348,395.06
  5. Step 5: Solve for x
    x = 348,395.06/414.25
  6. Step 6: Final answer
    x = 841.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.