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Finding the Third Proportional to 263,439 and 566,817.75

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Solution

The third proportional to 263,439 and 566,817.75 is: 1,219,570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,439 : 566,817.75 = 566,817.75 : x
  2. Step 2: Convert to fraction form
    263,439/566,817.75 = 566,817.75/x
  3. Step 3: Cross multiply
    263,439x = 566,817.75 × 566,817.75
  4. Step 4: Simplify right side
    263,439x = 321,282,361,715.06
  5. Step 5: Solve for x
    x = 321,282,361,715.06/263,439
  6. Step 6: Final answer
    x = 1,219,570.23

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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.