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Finding the Third Proportional to 435,965 and 591,739

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Solution

The third proportional to 435,965 and 591,739 is: 803,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,965 : 591,739 = 591,739 : x
  2. Step 2: Convert to fraction form
    435,965/591,739 = 591,739/x
  3. Step 3: Cross multiply
    435,965x = 591,739 × 591,739
  4. Step 4: Simplify right side
    435,965x = 350,155,044,121
  5. Step 5: Solve for x
    x = 350,155,044,121/435,965
  6. Step 6: Final answer
    x = 803,172.37

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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.