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Finding the Third Proportional to 260,928 and 571,864

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Solution

The third proportional to 260,928 and 571,864 is: 1,253,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,928 : 571,864 = 571,864 : x
  2. Step 2: Convert to fraction form
    260,928/571,864 = 571,864/x
  3. Step 3: Cross multiply
    260,928x = 571,864 × 571,864
  4. Step 4: Simplify right side
    260,928x = 327,028,434,496
  5. Step 5: Solve for x
    x = 327,028,434,496/260,928
  6. Step 6: Final answer
    x = 1,253,328.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.