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Finding the Third Proportional to 209,597 and 452,546

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Solution

The third proportional to 209,597 and 452,546 is: 977,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,597 : 452,546 = 452,546 : x
  2. Step 2: Convert to fraction form
    209,597/452,546 = 452,546/x
  3. Step 3: Cross multiply
    209,597x = 452,546 × 452,546
  4. Step 4: Simplify right side
    209,597x = 204,797,882,116
  5. Step 5: Solve for x
    x = 204,797,882,116/209,597
  6. Step 6: Final answer
    x = 977,103.12

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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.