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Finding the Third Proportional to 366,979 and 759,128

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Solution

The third proportional to 366,979 and 759,128 is: 1,570,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,979 : 759,128 = 759,128 : x
  2. Step 2: Convert to fraction form
    366,979/759,128 = 759,128/x
  3. Step 3: Cross multiply
    366,979x = 759,128 × 759,128
  4. Step 4: Simplify right side
    366,979x = 576,275,320,384
  5. Step 5: Solve for x
    x = 576,275,320,384/366,979
  6. Step 6: Final answer
    x = 1,570,322.34

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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.