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Finding the Third Proportional to 382,297.50 and 823,177.13

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Solution

The third proportional to 382,297.50 and 823,177.13 is: 1,772,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,297.50 : 823,177.13 = 823,177.13 : x
  2. Step 2: Convert to fraction form
    382,297.50/823,177.13 = 823,177.13/x
  3. Step 3: Cross multiply
    382,297.50x = 823,177.13 × 823,177.13
  4. Step 4: Simplify right side
    382,297.50x = 677,620,579,123.27
  5. Step 5: Solve for x
    x = 677,620,579,123.27/382,297.50
  6. Step 6: Final answer
    x = 1,772,495.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.