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Finding the Third Proportional to 330,858 and 700,716

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Solution

The third proportional to 330,858 and 700,716 is: 1,484,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,858 : 700,716 = 700,716 : x
  2. Step 2: Convert to fraction form
    330,858/700,716 = 700,716/x
  3. Step 3: Cross multiply
    330,858x = 700,716 × 700,716
  4. Step 4: Simplify right side
    330,858x = 491,002,912,656
  5. Step 5: Solve for x
    x = 491,002,912,656/330,858
  6. Step 6: Final answer
    x = 1,484,029.14

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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.