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Finding the Third Proportional to 366,982 and 561,416

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Solution

The third proportional to 366,982 and 561,416 is: 858,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,982 : 561,416 = 561,416 : x
  2. Step 2: Convert to fraction form
    366,982/561,416 = 561,416/x
  3. Step 3: Cross multiply
    366,982x = 561,416 × 561,416
  4. Step 4: Simplify right side
    366,982x = 315,187,925,056
  5. Step 5: Solve for x
    x = 315,187,925,056/366,982
  6. Step 6: Final answer
    x = 858,864.81

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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.