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Finding the Third Proportional to 230,226 and 498,283.50

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Solution

The third proportional to 230,226 and 498,283.50 is: 1,078,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,226 : 498,283.50 = 498,283.50 : x
  2. Step 2: Convert to fraction form
    230,226/498,283.50 = 498,283.50/x
  3. Step 3: Cross multiply
    230,226x = 498,283.50 × 498,283.50
  4. Step 4: Simplify right side
    230,226x = 248,286,446,372.25
  5. Step 5: Solve for x
    x = 248,286,446,372.25/230,226
  6. Step 6: Final answer
    x = 1,078,446.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.