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Finding the Third Proportional to 265,682 and 583,204

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Solution

The third proportional to 265,682 and 583,204 is: 1,280,203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,682 : 583,204 = 583,204 : x
  2. Step 2: Convert to fraction form
    265,682/583,204 = 583,204/x
  3. Step 3: Cross multiply
    265,682x = 583,204 × 583,204
  4. Step 4: Simplify right side
    265,682x = 340,126,905,616
  5. Step 5: Solve for x
    x = 340,126,905,616/265,682
  6. Step 6: Final answer
    x = 1,280,203.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.