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Finding the Third Proportional to 366,123 and 566,850

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Solution

The third proportional to 366,123 and 566,850 is: 877,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,123 : 566,850 = 566,850 : x
  2. Step 2: Convert to fraction form
    366,123/566,850 = 566,850/x
  3. Step 3: Cross multiply
    366,123x = 566,850 × 566,850
  4. Step 4: Simplify right side
    366,123x = 321,318,922,500
  5. Step 5: Solve for x
    x = 321,318,922,500/366,123
  6. Step 6: Final answer
    x = 877,625.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.