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Finding the Third Proportional to 366,978 and 759,127

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Solution

The third proportional to 366,978 and 759,127 is: 1,570,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,978 : 759,127 = 759,127 : x
  2. Step 2: Convert to fraction form
    366,978/759,127 = 759,127/x
  3. Step 3: Cross multiply
    366,978x = 759,127 × 759,127
  4. Step 4: Simplify right side
    366,978x = 576,273,802,129
  5. Step 5: Solve for x
    x = 576,273,802,129/366,978
  6. Step 6: Final answer
    x = 1,570,322.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.