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Finding the Third Proportional to 518,484 and 799,836

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Solution

The third proportional to 518,484 and 799,836 is: 1,233,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,484 : 799,836 = 799,836 : x
  2. Step 2: Convert to fraction form
    518,484/799,836 = 799,836/x
  3. Step 3: Cross multiply
    518,484x = 799,836 × 799,836
  4. Step 4: Simplify right side
    518,484x = 639,737,626,896
  5. Step 5: Solve for x
    x = 639,737,626,896/518,484
  6. Step 6: Final answer
    x = 1,233,861.85

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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.