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Finding the Third Proportional to 519,348.38 and 776,947.50

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Solution

The third proportional to 519,348.38 and 776,947.50 is: 1,162,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,348.38 : 776,947.50 = 776,947.50 : x
  2. Step 2: Convert to fraction form
    519,348.38/776,947.50 = 776,947.50/x
  3. Step 3: Cross multiply
    519,348.38x = 776,947.50 × 776,947.50
  4. Step 4: Simplify right side
    519,348.38x = 603,647,417,756.25
  5. Step 5: Solve for x
    x = 603,647,417,756.25/519,348.38
  6. Step 6: Final answer
    x = 1,162,316.95

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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.