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Finding the Third Proportional to 327,943 and 717,202

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Solution

The third proportional to 327,943 and 717,202 is: 1,568,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,943 : 717,202 = 717,202 : x
  2. Step 2: Convert to fraction form
    327,943/717,202 = 717,202/x
  3. Step 3: Cross multiply
    327,943x = 717,202 × 717,202
  4. Step 4: Simplify right side
    327,943x = 514,378,708,804
  5. Step 5: Solve for x
    x = 514,378,708,804/327,943
  6. Step 6: Final answer
    x = 1,568,500.35

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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.