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Finding the Third Proportional to 209,634 and 452,466

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Solution

The third proportional to 209,634 and 452,466 is: 976,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,634 : 452,466 = 452,466 : x
  2. Step 2: Convert to fraction form
    209,634/452,466 = 452,466/x
  3. Step 3: Cross multiply
    209,634x = 452,466 × 452,466
  4. Step 4: Simplify right side
    209,634x = 204,725,481,156
  5. Step 5: Solve for x
    x = 204,725,481,156/209,634
  6. Step 6: Final answer
    x = 976,585.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.