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Finding the Third Proportional to 207,815 and 448,060

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Solution

The third proportional to 207,815 and 448,060 is: 966,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,815 : 448,060 = 448,060 : x
  2. Step 2: Convert to fraction form
    207,815/448,060 = 448,060/x
  3. Step 3: Cross multiply
    207,815x = 448,060 × 448,060
  4. Step 4: Simplify right side
    207,815x = 200,757,763,600
  5. Step 5: Solve for x
    x = 200,757,763,600/207,815
  6. Step 6: Final answer
    x = 966,040.77

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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.