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Finding the Third Proportional to 340,704 and 496,266.75

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Solution

The third proportional to 340,704 and 496,266.75 is: 722,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,704 : 496,266.75 = 496,266.75 : x
  2. Step 2: Convert to fraction form
    340,704/496,266.75 = 496,266.75/x
  3. Step 3: Cross multiply
    340,704x = 496,266.75 × 496,266.75
  4. Step 4: Simplify right side
    340,704x = 246,280,687,155.56
  5. Step 5: Solve for x
    x = 246,280,687,155.56/340,704
  6. Step 6: Final answer
    x = 722,858.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.