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Finding the Third Proportional to 519,346.75 and 776,944.75

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Solution

The third proportional to 519,346.75 and 776,944.75 is: 1,162,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,346.75 : 776,944.75 = 776,944.75 : x
  2. Step 2: Convert to fraction form
    519,346.75/776,944.75 = 776,944.75/x
  3. Step 3: Cross multiply
    519,346.75x = 776,944.75 × 776,944.75
  4. Step 4: Simplify right side
    519,346.75x = 603,643,144,552.56
  5. Step 5: Solve for x
    x = 603,643,144,552.56/519,346.75
  6. Step 6: Final answer
    x = 1,162,312.36

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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.