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Finding the Third Proportional to 658,116.50 and 995,274.75

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Solution

The third proportional to 658,116.50 and 995,274.75 is: 1,505,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,116.50 : 995,274.75 = 995,274.75 : x
  2. Step 2: Convert to fraction form
    658,116.50/995,274.75 = 995,274.75/x
  3. Step 3: Cross multiply
    658,116.50x = 995,274.75 × 995,274.75
  4. Step 4: Simplify right side
    658,116.50x = 990,571,827,987.56
  5. Step 5: Solve for x
    x = 990,571,827,987.56/658,116.50
  6. Step 6: Final answer
    x = 1,505,161.82

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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.