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Finding the Third Proportional to 523,555 and 800,555

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Solution

The third proportional to 523,555 and 800,555 is: 1,224,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,555 : 800,555 = 800,555 : x
  2. Step 2: Convert to fraction form
    523,555/800,555 = 800,555/x
  3. Step 3: Cross multiply
    523,555x = 800,555 × 800,555
  4. Step 4: Simplify right side
    523,555x = 640,888,308,025
  5. Step 5: Solve for x
    x = 640,888,308,025/523,555
  6. Step 6: Final answer
    x = 1,224,108.85

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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.