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Finding the Third Proportional to 209,644 and 452,498

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Solution

The third proportional to 209,644 and 452,498 is: 976,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,644 : 452,498 = 452,498 : x
  2. Step 2: Convert to fraction form
    209,644/452,498 = 452,498/x
  3. Step 3: Cross multiply
    209,644x = 452,498 × 452,498
  4. Step 4: Simplify right side
    209,644x = 204,754,440,004
  5. Step 5: Solve for x
    x = 204,754,440,004/209,644
  6. Step 6: Final answer
    x = 976,676.84

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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.