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Finding the Third Proportional to 598,930 and 880,879

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Solution

The third proportional to 598,930 and 880,879 is: 1,295,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,930 : 880,879 = 880,879 : x
  2. Step 2: Convert to fraction form
    598,930/880,879 = 880,879/x
  3. Step 3: Cross multiply
    598,930x = 880,879 × 880,879
  4. Step 4: Simplify right side
    598,930x = 775,947,812,641
  5. Step 5: Solve for x
    x = 775,947,812,641/598,930
  6. Step 6: Final answer
    x = 1,295,556.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.