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Finding the Third Proportional to 269,692 and 591,224

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Solution

The third proportional to 269,692 and 591,224 is: 1,296,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,692 : 591,224 = 591,224 : x
  2. Step 2: Convert to fraction form
    269,692/591,224 = 591,224/x
  3. Step 3: Cross multiply
    269,692x = 591,224 × 591,224
  4. Step 4: Simplify right side
    269,692x = 349,545,818,176
  5. Step 5: Solve for x
    x = 349,545,818,176/269,692
  6. Step 6: Final answer
    x = 1,296,092.65

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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.