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Finding the Third Proportional to 518,359.50 and 811,399

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Solution

The third proportional to 518,359.50 and 811,399 is: 1,270,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,359.50 : 811,399 = 811,399 : x
  2. Step 2: Convert to fraction form
    518,359.50/811,399 = 811,399/x
  3. Step 3: Cross multiply
    518,359.50x = 811,399 × 811,399
  4. Step 4: Simplify right side
    518,359.50x = 658,368,337,201
  5. Step 5: Solve for x
    x = 658,368,337,201/518,359.50
  6. Step 6: Final answer
    x = 1,270,099.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.