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Finding the Third Proportional to 269,844 and 584,396

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Solution

The third proportional to 269,844 and 584,396 is: 1,265,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,844 : 584,396 = 584,396 : x
  2. Step 2: Convert to fraction form
    269,844/584,396 = 584,396/x
  3. Step 3: Cross multiply
    269,844x = 584,396 × 584,396
  4. Step 4: Simplify right side
    269,844x = 341,518,684,816
  5. Step 5: Solve for x
    x = 341,518,684,816/269,844
  6. Step 6: Final answer
    x = 1,265,615.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.