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Finding the Third Proportional to 278,022 and 607,029

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Solution

The third proportional to 278,022 and 607,029 is: 1,325,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,022 : 607,029 = 607,029 : x
  2. Step 2: Convert to fraction form
    278,022/607,029 = 607,029/x
  3. Step 3: Cross multiply
    278,022x = 607,029 × 607,029
  4. Step 4: Simplify right side
    278,022x = 368,484,206,841
  5. Step 5: Solve for x
    x = 368,484,206,841/278,022
  6. Step 6: Final answer
    x = 1,325,377.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.