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Finding the Third Proportional to 658,116 and 995,274

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Solution

The third proportional to 658,116 and 995,274 is: 1,505,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,116 : 995,274 = 995,274 : x
  2. Step 2: Convert to fraction form
    658,116/995,274 = 995,274/x
  3. Step 3: Cross multiply
    658,116x = 995,274 × 995,274
  4. Step 4: Simplify right side
    658,116x = 990,570,335,076
  5. Step 5: Solve for x
    x = 990,570,335,076/658,116
  6. Step 6: Final answer
    x = 1,505,160.69

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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.