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Finding the Third Proportional to 377,764.50 and 570,285

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Solution

The third proportional to 377,764.50 and 570,285 is: 860,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,764.50 : 570,285 = 570,285 : x
  2. Step 2: Convert to fraction form
    377,764.50/570,285 = 570,285/x
  3. Step 3: Cross multiply
    377,764.50x = 570,285 × 570,285
  4. Step 4: Simplify right side
    377,764.50x = 325,224,981,225
  5. Step 5: Solve for x
    x = 325,224,981,225/377,764.50
  6. Step 6: Final answer
    x = 860,919.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.