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Finding the Third Proportional to 327,636 and 719,514

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Solution

The third proportional to 327,636 and 719,514 is: 1,580,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,636 : 719,514 = 719,514 : x
  2. Step 2: Convert to fraction form
    327,636/719,514 = 719,514/x
  3. Step 3: Cross multiply
    327,636x = 719,514 × 719,514
  4. Step 4: Simplify right side
    327,636x = 517,700,396,196
  5. Step 5: Solve for x
    x = 517,700,396,196/327,636
  6. Step 6: Final answer
    x = 1,580,108.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.