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Finding the Third Proportional to 327,533 and 712,731

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Solution

The third proportional to 327,533 and 712,731 is: 1,550,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,533 : 712,731 = 712,731 : x
  2. Step 2: Convert to fraction form
    327,533/712,731 = 712,731/x
  3. Step 3: Cross multiply
    327,533x = 712,731 × 712,731
  4. Step 4: Simplify right side
    327,533x = 507,985,478,361
  5. Step 5: Solve for x
    x = 507,985,478,361/327,533
  6. Step 6: Final answer
    x = 1,550,944.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.