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Finding the Third Proportional to 579,728 and 801,057

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Solution

The third proportional to 579,728 and 801,057 is: 1,106,885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,728 : 801,057 = 801,057 : x
  2. Step 2: Convert to fraction form
    579,728/801,057 = 801,057/x
  3. Step 3: Cross multiply
    579,728x = 801,057 × 801,057
  4. Step 4: Simplify right side
    579,728x = 641,692,317,249
  5. Step 5: Solve for x
    x = 641,692,317,249/579,728
  6. Step 6: Final answer
    x = 1,106,885.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.