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Finding the Third Proportional to 338,720.06 and 459,793.13

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Solution

The third proportional to 338,720.06 and 459,793.13 is: 624,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,720.06 : 459,793.13 = 459,793.13 : x
  2. Step 2: Convert to fraction form
    338,720.06/459,793.13 = 459,793.13/x
  3. Step 3: Cross multiply
    338,720.06x = 459,793.13 × 459,793.13
  4. Step 4: Simplify right side
    338,720.06x = 211,409,717,797.27
  5. Step 5: Solve for x
    x = 211,409,717,797.27/338,720.06
  6. Step 6: Final answer
    x = 624,142.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.