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Finding the Third Proportional to 437,910 and 659,997

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Solution

The third proportional to 437,910 and 659,997 is: 994,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,910 : 659,997 = 659,997 : x
  2. Step 2: Convert to fraction form
    437,910/659,997 = 659,997/x
  3. Step 3: Cross multiply
    437,910x = 659,997 × 659,997
  4. Step 4: Simplify right side
    437,910x = 435,596,040,009
  5. Step 5: Solve for x
    x = 435,596,040,009/437,910
  6. Step 6: Final answer
    x = 994,715.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.