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Finding the Third Proportional to 264,036 and 622,680

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Solution

The third proportional to 264,036 and 622,680 is: 1,468,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,036 : 622,680 = 622,680 : x
  2. Step 2: Convert to fraction form
    264,036/622,680 = 622,680/x
  3. Step 3: Cross multiply
    264,036x = 622,680 × 622,680
  4. Step 4: Simplify right side
    264,036x = 387,730,382,400
  5. Step 5: Solve for x
    x = 387,730,382,400/264,036
  6. Step 6: Final answer
    x = 1,468,475.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.