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Finding the Third Proportional to 832,399.50 and 1,246,311

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Solution

The third proportional to 832,399.50 and 1,246,311 is: 1,866,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,399.50 : 1,246,311 = 1,246,311 : x
  2. Step 2: Convert to fraction form
    832,399.50/1,246,311 = 1,246,311/x
  3. Step 3: Cross multiply
    832,399.50x = 1,246,311 × 1,246,311
  4. Step 4: Simplify right side
    832,399.50x = 1,553,291,108,721
  5. Step 5: Solve for x
    x = 1,553,291,108,721/832,399.50
  6. Step 6: Final answer
    x = 1,866,040.42

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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.