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Finding the Third Proportional to 210,901 and 457,796

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Solution

The third proportional to 210,901 and 457,796 is: 993,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,901 : 457,796 = 457,796 : x
  2. Step 2: Convert to fraction form
    210,901/457,796 = 457,796/x
  3. Step 3: Cross multiply
    210,901x = 457,796 × 457,796
  4. Step 4: Simplify right side
    210,901x = 209,577,177,616
  5. Step 5: Solve for x
    x = 209,577,177,616/210,901
  6. Step 6: Final answer
    x = 993,723.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.