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Finding the Third Proportional to 658,098 and 995,247

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Solution

The third proportional to 658,098 and 995,247 is: 1,505,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,098 : 995,247 = 995,247 : x
  2. Step 2: Convert to fraction form
    658,098/995,247 = 995,247/x
  3. Step 3: Cross multiply
    658,098x = 995,247 × 995,247
  4. Step 4: Simplify right side
    658,098x = 990,516,591,009
  5. Step 5: Solve for x
    x = 990,516,591,009/658,098
  6. Step 6: Final answer
    x = 1,505,120.20

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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.