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Finding the Third Proportional to 465,834 and 738,815

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Solution

The third proportional to 465,834 and 738,815 is: 1,171,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,834 : 738,815 = 738,815 : x
  2. Step 2: Convert to fraction form
    465,834/738,815 = 738,815/x
  3. Step 3: Cross multiply
    465,834x = 738,815 × 738,815
  4. Step 4: Simplify right side
    465,834x = 545,847,604,225
  5. Step 5: Solve for x
    x = 545,847,604,225/465,834
  6. Step 6: Final answer
    x = 1,171,764.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.