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Finding the Third Proportional to 263,378 and 566,704

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Solution

The third proportional to 263,378 and 566,704 is: 1,219,363.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,378 : 566,704 = 566,704 : x
  2. Step 2: Convert to fraction form
    263,378/566,704 = 566,704/x
  3. Step 3: Cross multiply
    263,378x = 566,704 × 566,704
  4. Step 4: Simplify right side
    263,378x = 321,153,423,616
  5. Step 5: Solve for x
    x = 321,153,423,616/263,378
  6. Step 6: Final answer
    x = 1,219,363.13

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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.