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Finding the Third Proportional to 340,994.81 and 496,499.63

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Solution

The third proportional to 340,994.81 and 496,499.63 is: 722,919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,994.81 : 496,499.63 = 496,499.63 : x
  2. Step 2: Convert to fraction form
    340,994.81/496,499.63 = 496,499.63/x
  3. Step 3: Cross multiply
    340,994.81x = 496,499.63 × 496,499.63
  4. Step 4: Simplify right side
    340,994.81x = 246,511,877,625.14
  5. Step 5: Solve for x
    x = 246,511,877,625.14/340,994.81
  6. Step 6: Final answer
    x = 722,919.73

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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.