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Finding the Third Proportional to 398,832 and 602,994

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Solution

The third proportional to 398,832 and 602,994 is: 911,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,832 : 602,994 = 602,994 : x
  2. Step 2: Convert to fraction form
    398,832/602,994 = 602,994/x
  3. Step 3: Cross multiply
    398,832x = 602,994 × 602,994
  4. Step 4: Simplify right side
    398,832x = 363,601,764,036
  5. Step 5: Solve for x
    x = 363,601,764,036/398,832
  6. Step 6: Final answer
    x = 911,666.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.