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Finding the Third Proportional to 488,173.50 and 755,811

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Solution

The third proportional to 488,173.50 and 755,811 is: 1,170,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,173.50 : 755,811 = 755,811 : x
  2. Step 2: Convert to fraction form
    488,173.50/755,811 = 755,811/x
  3. Step 3: Cross multiply
    488,173.50x = 755,811 × 755,811
  4. Step 4: Simplify right side
    488,173.50x = 571,250,267,721
  5. Step 5: Solve for x
    x = 571,250,267,721/488,173.50
  6. Step 6: Final answer
    x = 1,170,178.77

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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.