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Finding the Third Proportional to 327,628 and 715,868

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Solution

The third proportional to 327,628 and 715,868 is: 1,564,173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,628 : 715,868 = 715,868 : x
  2. Step 2: Convert to fraction form
    327,628/715,868 = 715,868/x
  3. Step 3: Cross multiply
    327,628x = 715,868 × 715,868
  4. Step 4: Simplify right side
    327,628x = 512,466,993,424
  5. Step 5: Solve for x
    x = 512,466,993,424/327,628
  6. Step 6: Final answer
    x = 1,564,173.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.