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Finding the Third Proportional to 354,744 and 761,976

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Solution

The third proportional to 354,744 and 761,976 is: 1,636,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,744 : 761,976 = 761,976 : x
  2. Step 2: Convert to fraction form
    354,744/761,976 = 761,976/x
  3. Step 3: Cross multiply
    354,744x = 761,976 × 761,976
  4. Step 4: Simplify right side
    354,744x = 580,607,424,576
  5. Step 5: Solve for x
    x = 580,607,424,576/354,744
  6. Step 6: Final answer
    x = 1,636,694.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.