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Finding the Third Proportional to 356,023 and 534,105

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Solution

The third proportional to 356,023 and 534,105 is: 801,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,023 : 534,105 = 534,105 : x
  2. Step 2: Convert to fraction form
    356,023/534,105 = 534,105/x
  3. Step 3: Cross multiply
    356,023x = 534,105 × 534,105
  4. Step 4: Simplify right side
    356,023x = 285,268,151,025
  5. Step 5: Solve for x
    x = 285,268,151,025/356,023
  6. Step 6: Final answer
    x = 801,263.26

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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.