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Finding the Third Proportional to 263,034 and 566,631

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Solution

The third proportional to 263,034 and 566,631 is: 1,220,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,034 : 566,631 = 566,631 : x
  2. Step 2: Convert to fraction form
    263,034/566,631 = 566,631/x
  3. Step 3: Cross multiply
    263,034x = 566,631 × 566,631
  4. Step 4: Simplify right side
    263,034x = 321,070,690,161
  5. Step 5: Solve for x
    x = 321,070,690,161/263,034
  6. Step 6: Final answer
    x = 1,220,643.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.