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Finding the Third Proportional to 232,678.43 and 505,318.74

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Solution

The third proportional to 232,678.43 and 505,318.74 is: 1,097,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,678.43 : 505,318.74 = 505,318.74 : x
  2. Step 2: Convert to fraction form
    232,678.43/505,318.74 = 505,318.74/x
  3. Step 3: Cross multiply
    232,678.43x = 505,318.74 × 505,318.74
  4. Step 4: Simplify right side
    232,678.43x = 255,347,026,271.20
  5. Step 5: Solve for x
    x = 255,347,026,271.20/232,678.43
  6. Step 6: Final answer
    x = 1,097,424.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.