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Finding the Third Proportional to 498,976 and 1,088,240

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Solution

The third proportional to 498,976 and 1,088,240 is: 2,373,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,976 : 1,088,240 = 1,088,240 : x
  2. Step 2: Convert to fraction form
    498,976/1,088,240 = 1,088,240/x
  3. Step 3: Cross multiply
    498,976x = 1,088,240 × 1,088,240
  4. Step 4: Simplify right side
    498,976x = 1,184,266,297,600
  5. Step 5: Solve for x
    x = 1,184,266,297,600/498,976
  6. Step 6: Final answer
    x = 2,373,393.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.