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Finding the Third Proportional to 337,072.50 and 723,712.50

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Solution

The third proportional to 337,072.50 and 723,712.50 is: 1,553,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,072.50 : 723,712.50 = 723,712.50 : x
  2. Step 2: Convert to fraction form
    337,072.50/723,712.50 = 723,712.50/x
  3. Step 3: Cross multiply
    337,072.50x = 723,712.50 × 723,712.50
  4. Step 4: Simplify right side
    337,072.50x = 523,759,782,656.25
  5. Step 5: Solve for x
    x = 523,759,782,656.25/337,072.50
  6. Step 6: Final answer
    x = 1,553,849.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.