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Finding the Third Proportional to 492,107 and 759,965

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Solution

The third proportional to 492,107 and 759,965 is: 1,173,620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,107 : 759,965 = 759,965 : x
  2. Step 2: Convert to fraction form
    492,107/759,965 = 759,965/x
  3. Step 3: Cross multiply
    492,107x = 759,965 × 759,965
  4. Step 4: Simplify right side
    492,107x = 577,546,801,225
  5. Step 5: Solve for x
    x = 577,546,801,225/492,107
  6. Step 6: Final answer
    x = 1,173,620.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.