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Finding the Third Proportional to 414.84 and 603.42

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Solution

The third proportional to 414.84 and 603.42 is: 877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 603.42 = 603.42 : x
  2. Step 2: Convert to fraction form
    414.84/603.42 = 603.42/x
  3. Step 3: Cross multiply
    414.84x = 603.42 × 603.42
  4. Step 4: Simplify right side
    414.84x = 364,117.96
  5. Step 5: Solve for x
    x = 364,117.96/414.84
  6. Step 6: Final answer
    x = 877.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.