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Finding the Third Proportional to 576,616 and 862,616

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Solution

The third proportional to 576,616 and 862,616 is: 1,290,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,616 : 862,616 = 862,616 : x
  2. Step 2: Convert to fraction form
    576,616/862,616 = 862,616/x
  3. Step 3: Cross multiply
    576,616x = 862,616 × 862,616
  4. Step 4: Simplify right side
    576,616x = 744,106,363,456
  5. Step 5: Solve for x
    x = 744,106,363,456/576,616
  6. Step 6: Final answer
    x = 1,290,471.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.