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Finding the Third Proportional to 207,097 and 452,965

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Solution

The third proportional to 207,097 and 452,965 is: 990,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,097 : 452,965 = 452,965 : x
  2. Step 2: Convert to fraction form
    207,097/452,965 = 452,965/x
  3. Step 3: Cross multiply
    207,097x = 452,965 × 452,965
  4. Step 4: Simplify right side
    207,097x = 205,177,291,225
  5. Step 5: Solve for x
    x = 205,177,291,225/207,097
  6. Step 6: Final answer
    x = 990,730.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.