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Finding the Third Proportional to 367,099 and 534,670

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Solution

The third proportional to 367,099 and 534,670 is: 778,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,099 : 534,670 = 534,670 : x
  2. Step 2: Convert to fraction form
    367,099/534,670 = 534,670/x
  3. Step 3: Cross multiply
    367,099x = 534,670 × 534,670
  4. Step 4: Simplify right side
    367,099x = 285,872,008,900
  5. Step 5: Solve for x
    x = 285,872,008,900/367,099
  6. Step 6: Final answer
    x = 778,732.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.