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Finding the Third Proportional to 263,775 and 567,513

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Solution

The third proportional to 263,775 and 567,513 is: 1,221,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,775 : 567,513 = 567,513 : x
  2. Step 2: Convert to fraction form
    263,775/567,513 = 567,513/x
  3. Step 3: Cross multiply
    263,775x = 567,513 × 567,513
  4. Step 4: Simplify right side
    263,775x = 322,071,005,169
  5. Step 5: Solve for x
    x = 322,071,005,169/263,775
  6. Step 6: Final answer
    x = 1,221,006.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.