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Finding the Third Proportional to 250,704 and 377,253

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Solution

The third proportional to 250,704 and 377,253 is: 567,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,704 : 377,253 = 377,253 : x
  2. Step 2: Convert to fraction form
    250,704/377,253 = 377,253/x
  3. Step 3: Cross multiply
    250,704x = 377,253 × 377,253
  4. Step 4: Simplify right side
    250,704x = 142,319,826,009
  5. Step 5: Solve for x
    x = 142,319,826,009/250,704
  6. Step 6: Final answer
    x = 567,680.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.