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Finding the Third Proportional to 207,772 and 448,762

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Solution

The third proportional to 207,772 and 448,762 is: 969,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,772 : 448,762 = 448,762 : x
  2. Step 2: Convert to fraction form
    207,772/448,762 = 448,762/x
  3. Step 3: Cross multiply
    207,772x = 448,762 × 448,762
  4. Step 4: Simplify right side
    207,772x = 201,387,332,644
  5. Step 5: Solve for x
    x = 201,387,332,644/207,772
  6. Step 6: Final answer
    x = 969,270.80

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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.