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Finding the Third Proportional to 263,984 and 575,622

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Solution

The third proportional to 263,984 and 575,622 is: 1,255,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,984 : 575,622 = 575,622 : x
  2. Step 2: Convert to fraction form
    263,984/575,622 = 575,622/x
  3. Step 3: Cross multiply
    263,984x = 575,622 × 575,622
  4. Step 4: Simplify right side
    263,984x = 331,340,686,884
  5. Step 5: Solve for x
    x = 331,340,686,884/263,984
  6. Step 6: Final answer
    x = 1,255,154.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.