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Finding the Third Proportional to 207,413 and 448,036

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Solution

The third proportional to 207,413 and 448,036 is: 967,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,413 : 448,036 = 448,036 : x
  2. Step 2: Convert to fraction form
    207,413/448,036 = 448,036/x
  3. Step 3: Cross multiply
    207,413x = 448,036 × 448,036
  4. Step 4: Simplify right side
    207,413x = 200,736,257,296
  5. Step 5: Solve for x
    x = 200,736,257,296/207,413
  6. Step 6: Final answer
    x = 967,809.43

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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.