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Finding the Third Proportional to 337,977 and 723,933

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Solution

The third proportional to 337,977 and 723,933 is: 1,550,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,977 : 723,933 = 723,933 : x
  2. Step 2: Convert to fraction form
    337,977/723,933 = 723,933/x
  3. Step 3: Cross multiply
    337,977x = 723,933 × 723,933
  4. Step 4: Simplify right side
    337,977x = 524,078,988,489
  5. Step 5: Solve for x
    x = 524,078,988,489/337,977
  6. Step 6: Final answer
    x = 1,550,635.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.