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Finding the Third Proportional to 263,548 and 567,122

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Solution

The third proportional to 263,548 and 567,122 is: 1,220,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,548 : 567,122 = 567,122 : x
  2. Step 2: Convert to fraction form
    263,548/567,122 = 567,122/x
  3. Step 3: Cross multiply
    263,548x = 567,122 × 567,122
  4. Step 4: Simplify right side
    263,548x = 321,627,362,884
  5. Step 5: Solve for x
    x = 321,627,362,884/263,548
  6. Step 6: Final answer
    x = 1,220,374.90

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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.