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Finding the Third Proportional to 367,108 and 564,678

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Solution

The third proportional to 367,108 and 564,678 is: 868,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,108 : 564,678 = 564,678 : x
  2. Step 2: Convert to fraction form
    367,108/564,678 = 564,678/x
  3. Step 3: Cross multiply
    367,108x = 564,678 × 564,678
  4. Step 4: Simplify right side
    367,108x = 318,861,243,684
  5. Step 5: Solve for x
    x = 318,861,243,684/367,108
  6. Step 6: Final answer
    x = 868,576.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.