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Finding the Third Proportional to 337,420 and 517,404.50

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Solution

The third proportional to 337,420 and 517,404.50 is: 793,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,420 : 517,404.50 = 517,404.50 : x
  2. Step 2: Convert to fraction form
    337,420/517,404.50 = 517,404.50/x
  3. Step 3: Cross multiply
    337,420x = 517,404.50 × 517,404.50
  4. Step 4: Simplify right side
    337,420x = 267,707,416,620.25
  5. Step 5: Solve for x
    x = 267,707,416,620.25/337,420
  6. Step 6: Final answer
    x = 793,395.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.