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Finding the Third Proportional to 264,034.69 and 567,868.22

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Solution

The third proportional to 264,034.69 and 567,868.22 is: 1,221,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,034.69 : 567,868.22 = 567,868.22 : x
  2. Step 2: Convert to fraction form
    264,034.69/567,868.22 = 567,868.22/x
  3. Step 3: Cross multiply
    264,034.69x = 567,868.22 × 567,868.22
  4. Step 4: Simplify right side
    264,034.69x = 322,474,313,866.30
  5. Step 5: Solve for x
    x = 322,474,313,866.30/264,034.69
  6. Step 6: Final answer
    x = 1,221,333.14

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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.