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Finding the Third Proportional to 518,122.50 and 799,324

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Solution

The third proportional to 518,122.50 and 799,324 is: 1,233,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,122.50 : 799,324 = 799,324 : x
  2. Step 2: Convert to fraction form
    518,122.50/799,324 = 799,324/x
  3. Step 3: Cross multiply
    518,122.50x = 799,324 × 799,324
  4. Step 4: Simplify right side
    518,122.50x = 638,918,856,976
  5. Step 5: Solve for x
    x = 638,918,856,976/518,122.50
  6. Step 6: Final answer
    x = 1,233,142.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.