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Finding the Third Proportional to 443,884 and 695,576

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Solution

The third proportional to 443,884 and 695,576 is: 1,089,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,884 : 695,576 = 695,576 : x
  2. Step 2: Convert to fraction form
    443,884/695,576 = 695,576/x
  3. Step 3: Cross multiply
    443,884x = 695,576 × 695,576
  4. Step 4: Simplify right side
    443,884x = 483,825,971,776
  5. Step 5: Solve for x
    x = 483,825,971,776/443,884
  6. Step 6: Final answer
    x = 1,089,982.90

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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.