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Finding the Third Proportional to 535,728 and 810,504

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Solution

The third proportional to 535,728 and 810,504 is: 1,226,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,728 : 810,504 = 810,504 : x
  2. Step 2: Convert to fraction form
    535,728/810,504 = 810,504/x
  3. Step 3: Cross multiply
    535,728x = 810,504 × 810,504
  4. Step 4: Simplify right side
    535,728x = 656,916,734,016
  5. Step 5: Solve for x
    x = 656,916,734,016/535,728
  6. Step 6: Final answer
    x = 1,226,213.18

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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.