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Finding the Third Proportional to 278,210 and 600,772

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Solution

The third proportional to 278,210 and 600,772 is: 1,297,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,210 : 600,772 = 600,772 : x
  2. Step 2: Convert to fraction form
    278,210/600,772 = 600,772/x
  3. Step 3: Cross multiply
    278,210x = 600,772 × 600,772
  4. Step 4: Simplify right side
    278,210x = 360,926,995,984
  5. Step 5: Solve for x
    x = 360,926,995,984/278,210
  6. Step 6: Final answer
    x = 1,297,318.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.