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Finding the Third Proportional to 263,647 and 564,662

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Solution

The third proportional to 263,647 and 564,662 is: 1,209,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,647 : 564,662 = 564,662 : x
  2. Step 2: Convert to fraction form
    263,647/564,662 = 564,662/x
  3. Step 3: Cross multiply
    263,647x = 564,662 × 564,662
  4. Step 4: Simplify right side
    263,647x = 318,843,174,244
  5. Step 5: Solve for x
    x = 318,843,174,244/263,647
  6. Step 6: Final answer
    x = 1,209,356.35

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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.