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Finding the Third Proportional to 351,366 and 757,644

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Solution

The third proportional to 351,366 and 757,644 is: 1,633,693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,366 : 757,644 = 757,644 : x
  2. Step 2: Convert to fraction form
    351,366/757,644 = 757,644/x
  3. Step 3: Cross multiply
    351,366x = 757,644 × 757,644
  4. Step 4: Simplify right side
    351,366x = 574,024,430,736
  5. Step 5: Solve for x
    x = 574,024,430,736/351,366
  6. Step 6: Final answer
    x = 1,633,693.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.