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Finding the Third Proportional to 338,800.50 and 496,890

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Solution

The third proportional to 338,800.50 and 496,890 is: 728,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,800.50 : 496,890 = 496,890 : x
  2. Step 2: Convert to fraction form
    338,800.50/496,890 = 496,890/x
  3. Step 3: Cross multiply
    338,800.50x = 496,890 × 496,890
  4. Step 4: Simplify right side
    338,800.50x = 246,899,672,100
  5. Step 5: Solve for x
    x = 246,899,672,100/338,800.50
  6. Step 6: Final answer
    x = 728,746.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.