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Finding the Third Proportional to 337,961 and 723,899

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Solution

The third proportional to 337,961 and 723,899 is: 1,550,562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,961 : 723,899 = 723,899 : x
  2. Step 2: Convert to fraction form
    337,961/723,899 = 723,899/x
  3. Step 3: Cross multiply
    337,961x = 723,899 × 723,899
  4. Step 4: Simplify right side
    337,961x = 524,029,762,201
  5. Step 5: Solve for x
    x = 524,029,762,201/337,961
  6. Step 6: Final answer
    x = 1,550,562.82

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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.