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Finding the Third Proportional to 264,008 and 567,821

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Solution

The third proportional to 264,008 and 567,821 is: 1,221,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,008 : 567,821 = 567,821 : x
  2. Step 2: Convert to fraction form
    264,008/567,821 = 567,821/x
  3. Step 3: Cross multiply
    264,008x = 567,821 × 567,821
  4. Step 4: Simplify right side
    264,008x = 322,420,688,041
  5. Step 5: Solve for x
    x = 322,420,688,041/264,008
  6. Step 6: Final answer
    x = 1,221,253.48

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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.