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Finding the Third Proportional to 599,335.88 and 905,222.25

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Solution

The third proportional to 599,335.88 and 905,222.25 is: 1,367,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,335.88 : 905,222.25 = 905,222.25 : x
  2. Step 2: Convert to fraction form
    599,335.88/905,222.25 = 905,222.25/x
  3. Step 3: Cross multiply
    599,335.88x = 905,222.25 × 905,222.25
  4. Step 4: Simplify right side
    599,335.88x = 819,427,321,895.06
  5. Step 5: Solve for x
    x = 819,427,321,895.06/599,335.88
  6. Step 6: Final answer
    x = 1,367,225.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.