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Finding the Third Proportional to 356,021 and 534,102

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Solution

The third proportional to 356,021 and 534,102 is: 801,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,021 : 534,102 = 534,102 : x
  2. Step 2: Convert to fraction form
    356,021/534,102 = 534,102/x
  3. Step 3: Cross multiply
    356,021x = 534,102 × 534,102
  4. Step 4: Simplify right side
    356,021x = 285,264,946,404
  5. Step 5: Solve for x
    x = 285,264,946,404/356,021
  6. Step 6: Final answer
    x = 801,258.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.