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Finding the Third Proportional to 207,606 and 448,503

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Solution

The third proportional to 207,606 and 448,503 is: 968,926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,606 : 448,503 = 448,503 : x
  2. Step 2: Convert to fraction form
    207,606/448,503 = 448,503/x
  3. Step 3: Cross multiply
    207,606x = 448,503 × 448,503
  4. Step 4: Simplify right side
    207,606x = 201,154,941,009
  5. Step 5: Solve for x
    x = 201,154,941,009/207,606
  6. Step 6: Final answer
    x = 968,926.43

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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.