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Finding the Third Proportional to 658,084 and 995,226

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Solution

The third proportional to 658,084 and 995,226 is: 1,505,088.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,084 : 995,226 = 995,226 : x
  2. Step 2: Convert to fraction form
    658,084/995,226 = 995,226/x
  3. Step 3: Cross multiply
    658,084x = 995,226 × 995,226
  4. Step 4: Simplify right side
    658,084x = 990,474,791,076
  5. Step 5: Solve for x
    x = 990,474,791,076/658,084
  6. Step 6: Final answer
    x = 1,505,088.70

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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.