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Finding the Third Proportional to 263,626 and 568,724

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Solution

The third proportional to 263,626 and 568,724 is: 1,226,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,626 : 568,724 = 568,724 : x
  2. Step 2: Convert to fraction form
    263,626/568,724 = 568,724/x
  3. Step 3: Cross multiply
    263,626x = 568,724 × 568,724
  4. Step 4: Simplify right side
    263,626x = 323,446,988,176
  5. Step 5: Solve for x
    x = 323,446,988,176/263,626
  6. Step 6: Final answer
    x = 1,226,916.12

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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.