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Finding the Third Proportional to 328,050 and 717,372

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Solution

The third proportional to 328,050 and 717,372 is: 1,568,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,050 : 717,372 = 717,372 : x
  2. Step 2: Convert to fraction form
    328,050/717,372 = 717,372/x
  3. Step 3: Cross multiply
    328,050x = 717,372 × 717,372
  4. Step 4: Simplify right side
    328,050x = 514,622,586,384
  5. Step 5: Solve for x
    x = 514,622,586,384/328,050
  6. Step 6: Final answer
    x = 1,568,732.16

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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.