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Finding the Third Proportional to 365,872 and 801,704

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Solution

The third proportional to 365,872 and 801,704 is: 1,756,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,872 : 801,704 = 801,704 : x
  2. Step 2: Convert to fraction form
    365,872/801,704 = 801,704/x
  3. Step 3: Cross multiply
    365,872x = 801,704 × 801,704
  4. Step 4: Simplify right side
    365,872x = 642,729,303,616
  5. Step 5: Solve for x
    x = 642,729,303,616/365,872
  6. Step 6: Final answer
    x = 1,756,705.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.