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Finding the Third Proportional to 207,860 and 448,930

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Solution

The third proportional to 207,860 and 448,930 is: 969,585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,860 : 448,930 = 448,930 : x
  2. Step 2: Convert to fraction form
    207,860/448,930 = 448,930/x
  3. Step 3: Cross multiply
    207,860x = 448,930 × 448,930
  4. Step 4: Simplify right side
    207,860x = 201,538,144,900
  5. Step 5: Solve for x
    x = 201,538,144,900/207,860
  6. Step 6: Final answer
    x = 969,585.99

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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.