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Finding the Third Proportional to 232,887.38 and 498,974.63

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Solution

The third proportional to 232,887.38 and 498,974.63 is: 1,069,081.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,887.38 : 498,974.63 = 498,974.63 : x
  2. Step 2: Convert to fraction form
    232,887.38/498,974.63 = 498,974.63/x
  3. Step 3: Cross multiply
    232,887.38x = 498,974.63 × 498,974.63
  4. Step 4: Simplify right side
    232,887.38x = 248,975,676,393.89
  5. Step 5: Solve for x
    x = 248,975,676,393.89/232,887.38
  6. Step 6: Final answer
    x = 1,069,081.90

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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.