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Finding the Third Proportional to 525,541.50 and 811,601.25

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Solution

The third proportional to 525,541.50 and 811,601.25 is: 1,253,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,541.50 : 811,601.25 = 811,601.25 : x
  2. Step 2: Convert to fraction form
    525,541.50/811,601.25 = 811,601.25/x
  3. Step 3: Cross multiply
    525,541.50x = 811,601.25 × 811,601.25
  4. Step 4: Simplify right side
    525,541.50x = 658,696,589,001.56
  5. Step 5: Solve for x
    x = 658,696,589,001.56/525,541.50
  6. Step 6: Final answer
    x = 1,253,367.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.