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Finding the Third Proportional to 263,784 and 584,496

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Solution

The third proportional to 263,784 and 584,496 is: 1,295,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,784 : 584,496 = 584,496 : x
  2. Step 2: Convert to fraction form
    263,784/584,496 = 584,496/x
  3. Step 3: Cross multiply
    263,784x = 584,496 × 584,496
  4. Step 4: Simplify right side
    263,784x = 341,635,574,016
  5. Step 5: Solve for x
    x = 341,635,574,016/263,784
  6. Step 6: Final answer
    x = 1,295,133.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.