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Finding the Third Proportional to 519,786 and 777,563

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Solution

The third proportional to 519,786 and 777,563 is: 1,163,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,786 : 777,563 = 777,563 : x
  2. Step 2: Convert to fraction form
    519,786/777,563 = 777,563/x
  3. Step 3: Cross multiply
    519,786x = 777,563 × 777,563
  4. Step 4: Simplify right side
    519,786x = 604,604,218,969
  5. Step 5: Solve for x
    x = 604,604,218,969/519,786
  6. Step 6: Final answer
    x = 1,163,179.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.