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Finding the Third Proportional to 366,975 and 759,120

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Solution

The third proportional to 366,975 and 759,120 is: 1,570,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,975 : 759,120 = 759,120 : x
  2. Step 2: Convert to fraction form
    366,975/759,120 = 759,120/x
  3. Step 3: Cross multiply
    366,975x = 759,120 × 759,120
  4. Step 4: Simplify right side
    366,975x = 576,263,174,400
  5. Step 5: Solve for x
    x = 576,263,174,400/366,975
  6. Step 6: Final answer
    x = 1,570,306.35

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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.