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Finding the Third Proportional to 278,217 and 600,786

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Solution

The third proportional to 278,217 and 600,786 is: 1,297,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,217 : 600,786 = 600,786 : x
  2. Step 2: Convert to fraction form
    278,217/600,786 = 600,786/x
  3. Step 3: Cross multiply
    278,217x = 600,786 × 600,786
  4. Step 4: Simplify right side
    278,217x = 360,943,817,796
  5. Step 5: Solve for x
    x = 360,943,817,796/278,217
  6. Step 6: Final answer
    x = 1,297,346.38

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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.