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Finding the Third Proportional to 512,116 and 791,274

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Solution

The third proportional to 512,116 and 791,274 is: 1,222,602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,116 : 791,274 = 791,274 : x
  2. Step 2: Convert to fraction form
    512,116/791,274 = 791,274/x
  3. Step 3: Cross multiply
    512,116x = 791,274 × 791,274
  4. Step 4: Simplify right side
    512,116x = 626,114,543,076
  5. Step 5: Solve for x
    x = 626,114,543,076/512,116
  6. Step 6: Final answer
    x = 1,222,602.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.