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Finding the Third Proportional to 286,728 and 622,524

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Solution

The third proportional to 286,728 and 622,524 is: 1,351,581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,728 : 622,524 = 622,524 : x
  2. Step 2: Convert to fraction form
    286,728/622,524 = 622,524/x
  3. Step 3: Cross multiply
    286,728x = 622,524 × 622,524
  4. Step 4: Simplify right side
    286,728x = 387,536,130,576
  5. Step 5: Solve for x
    x = 387,536,130,576/286,728
  6. Step 6: Final answer
    x = 1,351,581.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.