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Finding the Third Proportional to 318,738.50 and 497,493.50

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Solution

The third proportional to 318,738.50 and 497,493.50 is: 776,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,738.50 : 497,493.50 = 497,493.50 : x
  2. Step 2: Convert to fraction form
    318,738.50/497,493.50 = 497,493.50/x
  3. Step 3: Cross multiply
    318,738.50x = 497,493.50 × 497,493.50
  4. Step 4: Simplify right side
    318,738.50x = 247,499,782,542.25
  5. Step 5: Solve for x
    x = 247,499,782,542.25/318,738.50
  6. Step 6: Final answer
    x = 776,497.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.