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Finding the Third Proportional to 263,034 and 568,106

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Solution

The third proportional to 263,034 and 568,106 is: 1,227,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,034 : 568,106 = 568,106 : x
  2. Step 2: Convert to fraction form
    263,034/568,106 = 568,106/x
  3. Step 3: Cross multiply
    263,034x = 568,106 × 568,106
  4. Step 4: Simplify right side
    263,034x = 322,744,427,236
  5. Step 5: Solve for x
    x = 322,744,427,236/263,034
  6. Step 6: Final answer
    x = 1,227,006.50

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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.