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Finding the Third Proportional to 443,891 and 695,586

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Solution

The third proportional to 443,891 and 695,586 is: 1,089,997.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,891 : 695,586 = 695,586 : x
  2. Step 2: Convert to fraction form
    443,891/695,586 = 695,586/x
  3. Step 3: Cross multiply
    443,891x = 695,586 × 695,586
  4. Step 4: Simplify right side
    443,891x = 483,839,883,396
  5. Step 5: Solve for x
    x = 483,839,883,396/443,891
  6. Step 6: Final answer
    x = 1,089,997.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.