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Finding the Third Proportional to 398,794 and 612,972

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Solution

The third proportional to 398,794 and 612,972 is: 942,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,794 : 612,972 = 612,972 : x
  2. Step 2: Convert to fraction form
    398,794/612,972 = 612,972/x
  3. Step 3: Cross multiply
    398,794x = 612,972 × 612,972
  4. Step 4: Simplify right side
    398,794x = 375,734,672,784
  5. Step 5: Solve for x
    x = 375,734,672,784/398,794
  6. Step 6: Final answer
    x = 942,177.35

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.