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Finding the Third Proportional to 335,414 and 498,555

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Solution

The third proportional to 335,414 and 498,555 is: 741,045.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,414 : 498,555 = 498,555 : x
  2. Step 2: Convert to fraction form
    335,414/498,555 = 498,555/x
  3. Step 3: Cross multiply
    335,414x = 498,555 × 498,555
  4. Step 4: Simplify right side
    335,414x = 248,557,088,025
  5. Step 5: Solve for x
    x = 248,557,088,025/335,414
  6. Step 6: Final answer
    x = 741,045.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.