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Finding the Third Proportional to 207,297 and 444,078

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Solution

The third proportional to 207,297 and 444,078 is: 951,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,297 : 444,078 = 444,078 : x
  2. Step 2: Convert to fraction form
    207,297/444,078 = 444,078/x
  3. Step 3: Cross multiply
    207,297x = 444,078 × 444,078
  4. Step 4: Simplify right side
    207,297x = 197,205,270,084
  5. Step 5: Solve for x
    x = 197,205,270,084/207,297
  6. Step 6: Final answer
    x = 951,317.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.