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Finding the Third Proportional to 213,235 and 452,713

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Solution

The third proportional to 213,235 and 452,713 is: 961,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,235 : 452,713 = 452,713 : x
  2. Step 2: Convert to fraction form
    213,235/452,713 = 452,713/x
  3. Step 3: Cross multiply
    213,235x = 452,713 × 452,713
  4. Step 4: Simplify right side
    213,235x = 204,949,060,369
  5. Step 5: Solve for x
    x = 204,949,060,369/213,235
  6. Step 6: Final answer
    x = 961,141.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.