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Finding the Third Proportional to 524,866.50 and 787,163

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Solution

The third proportional to 524,866.50 and 787,163 is: 1,180,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,866.50 : 787,163 = 787,163 : x
  2. Step 2: Convert to fraction form
    524,866.50/787,163 = 787,163/x
  3. Step 3: Cross multiply
    524,866.50x = 787,163 × 787,163
  4. Step 4: Simplify right side
    524,866.50x = 619,625,588,569
  5. Step 5: Solve for x
    x = 619,625,588,569/524,866.50
  6. Step 6: Final answer
    x = 1,180,539.41

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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.