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Finding the Third Proportional to 264,788 and 567,481

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Solution

The third proportional to 264,788 and 567,481 is: 1,216,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,788 : 567,481 = 567,481 : x
  2. Step 2: Convert to fraction form
    264,788/567,481 = 567,481/x
  3. Step 3: Cross multiply
    264,788x = 567,481 × 567,481
  4. Step 4: Simplify right side
    264,788x = 322,034,685,361
  5. Step 5: Solve for x
    x = 322,034,685,361/264,788
  6. Step 6: Final answer
    x = 1,216,198.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.