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Finding the Third Proportional to 209,596 and 452,544

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Solution

The third proportional to 209,596 and 452,544 is: 977,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,596 : 452,544 = 452,544 : x
  2. Step 2: Convert to fraction form
    209,596/452,544 = 452,544/x
  3. Step 3: Cross multiply
    209,596x = 452,544 × 452,544
  4. Step 4: Simplify right side
    209,596x = 204,796,071,936
  5. Step 5: Solve for x
    x = 204,796,071,936/209,596
  6. Step 6: Final answer
    x = 977,099.14

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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.