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Finding the Third Proportional to 367,019.23 and 561,497.06

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Solution

The third proportional to 367,019.23 and 561,497.06 is: 859,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,019.23 : 561,497.06 = 561,497.06 : x
  2. Step 2: Convert to fraction form
    367,019.23/561,497.06 = 561,497.06/x
  3. Step 3: Cross multiply
    367,019.23x = 561,497.06 × 561,497.06
  4. Step 4: Simplify right side
    367,019.23x = 315,278,951,196.13
  5. Step 5: Solve for x
    x = 315,278,951,196.13/367,019.23
  6. Step 6: Final answer
    x = 859,025.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.