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Finding the Third Proportional to 232,895.53 and 498,990.94

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Solution

The third proportional to 232,895.53 and 498,990.94 is: 1,069,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,895.53 : 498,990.94 = 498,990.94 : x
  2. Step 2: Convert to fraction form
    232,895.53/498,990.94 = 498,990.94/x
  3. Step 3: Cross multiply
    232,895.53x = 498,990.94 × 498,990.94
  4. Step 4: Simplify right side
    232,895.53x = 248,991,955,707.13
  5. Step 5: Solve for x
    x = 248,991,955,707.13/232,895.53
  6. Step 6: Final answer
    x = 1,069,114.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.