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Finding the Third Proportional to 367,704 and 759,024

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Solution

The third proportional to 367,704 and 759,024 is: 1,566,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,704 : 759,024 = 759,024 : x
  2. Step 2: Convert to fraction form
    367,704/759,024 = 759,024/x
  3. Step 3: Cross multiply
    367,704x = 759,024 × 759,024
  4. Step 4: Simplify right side
    367,704x = 576,117,432,576
  5. Step 5: Solve for x
    x = 576,117,432,576/367,704
  6. Step 6: Final answer
    x = 1,566,796.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.