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Finding the Third Proportional to 340,998 and 496,504.50

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Solution

The third proportional to 340,998 and 496,504.50 is: 722,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,998 : 496,504.50 = 496,504.50 : x
  2. Step 2: Convert to fraction form
    340,998/496,504.50 = 496,504.50/x
  3. Step 3: Cross multiply
    340,998x = 496,504.50 × 496,504.50
  4. Step 4: Simplify right side
    340,998x = 246,516,718,520.25
  5. Step 5: Solve for x
    x = 246,516,718,520.25/340,998
  6. Step 6: Final answer
    x = 722,927.17

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