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Finding the Third Proportional to 524,011.50 and 1,131,696

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Solution

The third proportional to 524,011.50 and 1,131,696 is: 2,444,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,011.50 : 1,131,696 = 1,131,696 : x
  2. Step 2: Convert to fraction form
    524,011.50/1,131,696 = 1,131,696/x
  3. Step 3: Cross multiply
    524,011.50x = 1,131,696 × 1,131,696
  4. Step 4: Simplify right side
    524,011.50x = 1,280,735,836,416
  5. Step 5: Solve for x
    x = 1,280,735,836,416/524,011.50
  6. Step 6: Final answer
    x = 2,444,098.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.