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Finding the Third Proportional to 213,320 and 452,875

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Solution

The third proportional to 213,320 and 452,875 is: 961,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,320 : 452,875 = 452,875 : x
  2. Step 2: Convert to fraction form
    213,320/452,875 = 452,875/x
  3. Step 3: Cross multiply
    213,320x = 452,875 × 452,875
  4. Step 4: Simplify right side
    213,320x = 205,095,765,625
  5. Step 5: Solve for x
    x = 205,095,765,625/213,320
  6. Step 6: Final answer
    x = 961,446.49

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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.