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Finding the Third Proportional to 498,760 and 1,076,252

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Solution

The third proportional to 498,760 and 1,076,252 is: 2,322,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,760 : 1,076,252 = 1,076,252 : x
  2. Step 2: Convert to fraction form
    498,760/1,076,252 = 1,076,252/x
  3. Step 3: Cross multiply
    498,760x = 1,076,252 × 1,076,252
  4. Step 4: Simplify right side
    498,760x = 1,158,318,367,504
  5. Step 5: Solve for x
    x = 1,158,318,367,504/498,760
  6. Step 6: Final answer
    x = 2,322,396.28

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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.