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Finding the Third Proportional to 435,966 and 591,741

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Solution

The third proportional to 435,966 and 591,741 is: 803,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,966 : 591,741 = 591,741 : x
  2. Step 2: Convert to fraction form
    435,966/591,741 = 591,741/x
  3. Step 3: Cross multiply
    435,966x = 591,741 × 591,741
  4. Step 4: Simplify right side
    435,966x = 350,157,411,081
  5. Step 5: Solve for x
    x = 350,157,411,081/435,966
  6. Step 6: Final answer
    x = 803,175.96

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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.