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Finding the Third Proportional to 327,768 and 708,024

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Solution

The third proportional to 327,768 and 708,024 is: 1,529,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,768 : 708,024 = 708,024 : x
  2. Step 2: Convert to fraction form
    327,768/708,024 = 708,024/x
  3. Step 3: Cross multiply
    327,768x = 708,024 × 708,024
  4. Step 4: Simplify right side
    327,768x = 501,297,984,576
  5. Step 5: Solve for x
    x = 501,297,984,576/327,768
  6. Step 6: Final answer
    x = 1,529,429.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.