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Finding the Third Proportional to 284,162 and 621,837

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Solution

The third proportional to 284,162 and 621,837 is: 1,360,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,162 : 621,837 = 621,837 : x
  2. Step 2: Convert to fraction form
    284,162/621,837 = 621,837/x
  3. Step 3: Cross multiply
    284,162x = 621,837 × 621,837
  4. Step 4: Simplify right side
    284,162x = 386,681,254,569
  5. Step 5: Solve for x
    x = 386,681,254,569/284,162
  6. Step 6: Final answer
    x = 1,360,777.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.