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Finding the Third Proportional to 230,901 and 486,816

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Solution

The third proportional to 230,901 and 486,816 is: 1,026,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,901 : 486,816 = 486,816 : x
  2. Step 2: Convert to fraction form
    230,901/486,816 = 486,816/x
  3. Step 3: Cross multiply
    230,901x = 486,816 × 486,816
  4. Step 4: Simplify right side
    230,901x = 236,989,817,856
  5. Step 5: Solve for x
    x = 236,989,817,856/230,901
  6. Step 6: Final answer
    x = 1,026,369.82

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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.