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Finding the Third Proportional to 354,576 and 758,974

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Solution

The third proportional to 354,576 and 758,974 is: 1,624,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,576 : 758,974 = 758,974 : x
  2. Step 2: Convert to fraction form
    354,576/758,974 = 758,974/x
  3. Step 3: Cross multiply
    354,576x = 758,974 × 758,974
  4. Step 4: Simplify right side
    354,576x = 576,041,532,676
  5. Step 5: Solve for x
    x = 576,041,532,676/354,576
  6. Step 6: Final answer
    x = 1,624,592.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.