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Finding the Third Proportional to 519,462 and 811,998

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Solution

The third proportional to 519,462 and 811,998 is: 1,269,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,462 : 811,998 = 811,998 : x
  2. Step 2: Convert to fraction form
    519,462/811,998 = 811,998/x
  3. Step 3: Cross multiply
    519,462x = 811,998 × 811,998
  4. Step 4: Simplify right side
    519,462x = 659,340,752,004
  5. Step 5: Solve for x
    x = 659,340,752,004/519,462
  6. Step 6: Final answer
    x = 1,269,276.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.