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Finding the Third Proportional to 546,169.50 and 835,885.13

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Solution

The third proportional to 546,169.50 and 835,885.13 is: 1,279,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,169.50 : 835,885.13 = 835,885.13 : x
  2. Step 2: Convert to fraction form
    546,169.50/835,885.13 = 835,885.13/x
  3. Step 3: Cross multiply
    546,169.50x = 835,885.13 × 835,885.13
  4. Step 4: Simplify right side
    546,169.50x = 698,703,942,196.27
  5. Step 5: Solve for x
    x = 698,703,942,196.27/546,169.50
  6. Step 6: Final answer
    x = 1,279,280.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.