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Finding the Third Proportional to 236,979 and 498,872.25

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Solution

The third proportional to 236,979 and 498,872.25 is: 1,050,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,979 : 498,872.25 = 498,872.25 : x
  2. Step 2: Convert to fraction form
    236,979/498,872.25 = 498,872.25/x
  3. Step 3: Cross multiply
    236,979x = 498,872.25 × 498,872.25
  4. Step 4: Simplify right side
    236,979x = 248,873,521,820.06
  5. Step 5: Solve for x
    x = 248,873,521,820.06/236,979
  6. Step 6: Final answer
    x = 1,050,192.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.