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Finding the Third Proportional to 330,864 and 700,728

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Solution

The third proportional to 330,864 and 700,728 is: 1,484,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,864 : 700,728 = 700,728 : x
  2. Step 2: Convert to fraction form
    330,864/700,728 = 700,728/x
  3. Step 3: Cross multiply
    330,864x = 700,728 × 700,728
  4. Step 4: Simplify right side
    330,864x = 491,019,729,984
  5. Step 5: Solve for x
    x = 491,019,729,984/330,864
  6. Step 6: Final answer
    x = 1,484,053.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.