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Finding the Third Proportional to 658,106 and 995,259

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Solution

The third proportional to 658,106 and 995,259 is: 1,505,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,106 : 995,259 = 995,259 : x
  2. Step 2: Convert to fraction form
    658,106/995,259 = 995,259/x
  3. Step 3: Cross multiply
    658,106x = 995,259 × 995,259
  4. Step 4: Simplify right side
    658,106x = 990,540,477,081
  5. Step 5: Solve for x
    x = 990,540,477,081/658,106
  6. Step 6: Final answer
    x = 1,505,138.20

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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.