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Finding the Third Proportional to 519,359.50 and 776,963

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Solution

The third proportional to 519,359.50 and 776,963 is: 1,162,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,359.50 : 776,963 = 776,963 : x
  2. Step 2: Convert to fraction form
    519,359.50/776,963 = 776,963/x
  3. Step 3: Cross multiply
    519,359.50x = 776,963 × 776,963
  4. Step 4: Simplify right side
    519,359.50x = 603,671,503,369
  5. Step 5: Solve for x
    x = 603,671,503,369/519,359.50
  6. Step 6: Final answer
    x = 1,162,338.43

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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.