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Finding the Third Proportional to 571,709 and 836,075

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Solution

The third proportional to 571,709 and 836,075 is: 1,222,687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,709 : 836,075 = 836,075 : x
  2. Step 2: Convert to fraction form
    571,709/836,075 = 836,075/x
  3. Step 3: Cross multiply
    571,709x = 836,075 × 836,075
  4. Step 4: Simplify right side
    571,709x = 699,021,405,625
  5. Step 5: Solve for x
    x = 699,021,405,625/571,709
  6. Step 6: Final answer
    x = 1,222,687.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.