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Finding the Third Proportional to 272,322 and 591,138

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Solution

The third proportional to 272,322 and 591,138 is: 1,283,202

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,322 : 591,138 = 591,138 : x
  2. Step 2: Convert to fraction form
    272,322/591,138 = 591,138/x
  3. Step 3: Cross multiply
    272,322x = 591,138 × 591,138
  4. Step 4: Simplify right side
    272,322x = 349,444,135,044
  5. Step 5: Solve for x
    x = 349,444,135,044/272,322
  6. Step 6: Final answer
    x = 1,283,202

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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.