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Finding the Third Proportional to 523,904 and 800,896

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Solution

The third proportional to 523,904 and 800,896 is: 1,224,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,904 : 800,896 = 800,896 : x
  2. Step 2: Convert to fraction form
    523,904/800,896 = 800,896/x
  3. Step 3: Cross multiply
    523,904x = 800,896 × 800,896
  4. Step 4: Simplify right side
    523,904x = 641,434,402,816
  5. Step 5: Solve for x
    x = 641,434,402,816/523,904
  6. Step 6: Final answer
    x = 1,224,335.76

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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.