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Finding the Third Proportional to 213,249 and 452,738

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Solution

The third proportional to 213,249 and 452,738 is: 961,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,249 : 452,738 = 452,738 : x
  2. Step 2: Convert to fraction form
    213,249/452,738 = 452,738/x
  3. Step 3: Cross multiply
    213,249x = 452,738 × 452,738
  4. Step 4: Simplify right side
    213,249x = 204,971,696,644
  5. Step 5: Solve for x
    x = 204,971,696,644/213,249
  6. Step 6: Final answer
    x = 961,184.80

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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.