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Finding the Third Proportional to 535,793 and 810,578

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Solution

The third proportional to 535,793 and 810,578 is: 1,226,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,793 : 810,578 = 810,578 : x
  2. Step 2: Convert to fraction form
    535,793/810,578 = 810,578/x
  3. Step 3: Cross multiply
    535,793x = 810,578 × 810,578
  4. Step 4: Simplify right side
    535,793x = 657,036,694,084
  5. Step 5: Solve for x
    x = 657,036,694,084/535,793
  6. Step 6: Final answer
    x = 1,226,288.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.