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Finding the Third Proportional to 375,443 and 816,982

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Solution

The third proportional to 375,443 and 816,982 is: 1,777,792.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,443 : 816,982 = 816,982 : x
  2. Step 2: Convert to fraction form
    375,443/816,982 = 816,982/x
  3. Step 3: Cross multiply
    375,443x = 816,982 × 816,982
  4. Step 4: Simplify right side
    375,443x = 667,459,588,324
  5. Step 5: Solve for x
    x = 667,459,588,324/375,443
  6. Step 6: Final answer
    x = 1,777,792.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.