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Finding the Third Proportional to 262,229 and 565,930

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Solution

The third proportional to 262,229 and 565,930 is: 1,221,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,229 : 565,930 = 565,930 : x
  2. Step 2: Convert to fraction form
    262,229/565,930 = 565,930/x
  3. Step 3: Cross multiply
    262,229x = 565,930 × 565,930
  4. Step 4: Simplify right side
    262,229x = 320,276,764,900
  5. Step 5: Solve for x
    x = 320,276,764,900/262,229
  6. Step 6: Final answer
    x = 1,221,362.87

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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.