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Finding the Third Proportional to 265,869 and 561,762

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Solution

The third proportional to 265,869 and 561,762 is: 1,186,962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,869 : 561,762 = 561,762 : x
  2. Step 2: Convert to fraction form
    265,869/561,762 = 561,762/x
  3. Step 3: Cross multiply
    265,869x = 561,762 × 561,762
  4. Step 4: Simplify right side
    265,869x = 315,576,544,644
  5. Step 5: Solve for x
    x = 315,576,544,644/265,869
  6. Step 6: Final answer
    x = 1,186,962.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.