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Finding the Third Proportional to 337,009 and 733,530

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Solution

The third proportional to 337,009 and 733,530 is: 1,596,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,009 : 733,530 = 733,530 : x
  2. Step 2: Convert to fraction form
    337,009/733,530 = 733,530/x
  3. Step 3: Cross multiply
    337,009x = 733,530 × 733,530
  4. Step 4: Simplify right side
    337,009x = 538,066,260,900
  5. Step 5: Solve for x
    x = 538,066,260,900/337,009
  6. Step 6: Final answer
    x = 1,596,593.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.