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Finding the Third Proportional to 262,227 and 565,926

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Solution

The third proportional to 262,227 and 565,926 is: 1,221,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,227 : 565,926 = 565,926 : x
  2. Step 2: Convert to fraction form
    262,227/565,926 = 565,926/x
  3. Step 3: Cross multiply
    262,227x = 565,926 × 565,926
  4. Step 4: Simplify right side
    262,227x = 320,272,237,476
  5. Step 5: Solve for x
    x = 320,272,237,476/262,227
  6. Step 6: Final answer
    x = 1,221,354.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.