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Finding the Third Proportional to 519,350.63 and 776,950.88

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Solution

The third proportional to 519,350.63 and 776,950.88 is: 1,162,322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,350.63 : 776,950.88 = 776,950.88 : x
  2. Step 2: Convert to fraction form
    519,350.63/776,950.88 = 776,950.88/x
  3. Step 3: Cross multiply
    519,350.63x = 776,950.88 × 776,950.88
  4. Step 4: Simplify right side
    519,350.63x = 603,652,662,163.27
  5. Step 5: Solve for x
    x = 603,652,662,163.27/519,350.63
  6. Step 6: Final answer
    x = 1,162,322.01

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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.