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Finding the Third Proportional to 375,722 and 764,566

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Solution

The third proportional to 375,722 and 764,566 is: 1,555,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,722 : 764,566 = 764,566 : x
  2. Step 2: Convert to fraction form
    375,722/764,566 = 764,566/x
  3. Step 3: Cross multiply
    375,722x = 764,566 × 764,566
  4. Step 4: Simplify right side
    375,722x = 584,561,168,356
  5. Step 5: Solve for x
    x = 584,561,168,356/375,722
  6. Step 6: Final answer
    x = 1,555,834.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.