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Finding the Third Proportional to 327,555 and 716,211

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Solution

The third proportional to 327,555 and 716,211 is: 1,566,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,555 : 716,211 = 716,211 : x
  2. Step 2: Convert to fraction form
    327,555/716,211 = 716,211/x
  3. Step 3: Cross multiply
    327,555x = 716,211 × 716,211
  4. Step 4: Simplify right side
    327,555x = 512,958,196,521
  5. Step 5: Solve for x
    x = 512,958,196,521/327,555
  6. Step 6: Final answer
    x = 1,566,021.57

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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.