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Finding the Third Proportional to 264,783 and 567,471

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Solution

The third proportional to 264,783 and 567,471 is: 1,216,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,783 : 567,471 = 567,471 : x
  2. Step 2: Convert to fraction form
    264,783/567,471 = 567,471/x
  3. Step 3: Cross multiply
    264,783x = 567,471 × 567,471
  4. Step 4: Simplify right side
    264,783x = 322,023,335,841
  5. Step 5: Solve for x
    x = 322,023,335,841/264,783
  6. Step 6: Final answer
    x = 1,216,178.29

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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.