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Finding the Third Proportional to 519,352.25 and 776,952.75

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Solution

The third proportional to 519,352.25 and 776,952.75 is: 1,162,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,352.25 : 776,952.75 = 776,952.75 : x
  2. Step 2: Convert to fraction form
    519,352.25/776,952.75 = 776,952.75/x
  3. Step 3: Cross multiply
    519,352.25x = 776,952.75 × 776,952.75
  4. Step 4: Simplify right side
    519,352.25x = 603,655,575,732.56
  5. Step 5: Solve for x
    x = 603,655,575,732.56/519,352.25
  6. Step 6: Final answer
    x = 1,162,323.98

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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.