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Finding the Third Proportional to 213,324 and 452,883

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Solution

The third proportional to 213,324 and 452,883 is: 961,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,324 : 452,883 = 452,883 : x
  2. Step 2: Convert to fraction form
    213,324/452,883 = 452,883/x
  3. Step 3: Cross multiply
    213,324x = 452,883 × 452,883
  4. Step 4: Simplify right side
    213,324x = 205,103,011,689
  5. Step 5: Solve for x
    x = 205,103,011,689/213,324
  6. Step 6: Final answer
    x = 961,462.43

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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.