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Finding the Third Proportional to 435,984 and 591,767

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Solution

The third proportional to 435,984 and 591,767 is: 803,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,984 : 591,767 = 591,767 : x
  2. Step 2: Convert to fraction form
    435,984/591,767 = 591,767/x
  3. Step 3: Cross multiply
    435,984x = 591,767 × 591,767
  4. Step 4: Simplify right side
    435,984x = 350,188,182,289
  5. Step 5: Solve for x
    x = 350,188,182,289/435,984
  6. Step 6: Final answer
    x = 803,213.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.