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Finding the Third Proportional to 269,326 and 583,224

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Solution

The third proportional to 269,326 and 583,224 is: 1,262,968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,326 : 583,224 = 583,224 : x
  2. Step 2: Convert to fraction form
    269,326/583,224 = 583,224/x
  3. Step 3: Cross multiply
    269,326x = 583,224 × 583,224
  4. Step 4: Simplify right side
    269,326x = 340,150,234,176
  5. Step 5: Solve for x
    x = 340,150,234,176/269,326
  6. Step 6: Final answer
    x = 1,262,968.43

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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.