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Finding the Third Proportional to 414,438 and 608,058

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Solution

The third proportional to 414,438 and 608,058 is: 892,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,438 : 608,058 = 608,058 : x
  2. Step 2: Convert to fraction form
    414,438/608,058 = 608,058/x
  3. Step 3: Cross multiply
    414,438x = 608,058 × 608,058
  4. Step 4: Simplify right side
    414,438x = 369,734,531,364
  5. Step 5: Solve for x
    x = 369,734,531,364/414,438
  6. Step 6: Final answer
    x = 892,134.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.