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Finding the Third Proportional to 263,442 and 568,356

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Solution

The third proportional to 263,442 and 568,356 is: 1,226,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,442 : 568,356 = 568,356 : x
  2. Step 2: Convert to fraction form
    263,442/568,356 = 568,356/x
  3. Step 3: Cross multiply
    263,442x = 568,356 × 568,356
  4. Step 4: Simplify right side
    263,442x = 323,028,542,736
  5. Step 5: Solve for x
    x = 323,028,542,736/263,442
  6. Step 6: Final answer
    x = 1,226,184.67

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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.