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Finding the Third Proportional to 345,940.88 and 525,912.75

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Solution

The third proportional to 345,940.88 and 525,912.75 is: 799,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,940.88 : 525,912.75 = 525,912.75 : x
  2. Step 2: Convert to fraction form
    345,940.88/525,912.75 = 525,912.75/x
  3. Step 3: Cross multiply
    345,940.88x = 525,912.75 × 525,912.75
  4. Step 4: Simplify right side
    345,940.88x = 276,584,220,612.56
  5. Step 5: Solve for x
    x = 276,584,220,612.56/345,940.88
  6. Step 6: Final answer
    x = 799,512.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.