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Finding the Third Proportional to 519,560.50 and 777,267.75

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Solution

The third proportional to 519,560.50 and 777,267.75 is: 1,162,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,560.50 : 777,267.75 = 777,267.75 : x
  2. Step 2: Convert to fraction form
    519,560.50/777,267.75 = 777,267.75/x
  3. Step 3: Cross multiply
    519,560.50x = 777,267.75 × 777,267.75
  4. Step 4: Simplify right side
    519,560.50x = 604,145,155,190.06
  5. Step 5: Solve for x
    x = 604,145,155,190.06/519,560.50
  6. Step 6: Final answer
    x = 1,162,800.40

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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.