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Finding the Third Proportional to 553,704 and 848,832

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Solution

The third proportional to 553,704 and 848,832 is: 1,301,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,704 : 848,832 = 848,832 : x
  2. Step 2: Convert to fraction form
    553,704/848,832 = 848,832/x
  3. Step 3: Cross multiply
    553,704x = 848,832 × 848,832
  4. Step 4: Simplify right side
    553,704x = 720,515,764,224
  5. Step 5: Solve for x
    x = 720,515,764,224/553,704
  6. Step 6: Final answer
    x = 1,301,265.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.