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Finding the Third Proportional to 312,200 and 663,274

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Solution

The third proportional to 312,200 and 663,274 is: 1,409,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,200 : 663,274 = 663,274 : x
  2. Step 2: Convert to fraction form
    312,200/663,274 = 663,274/x
  3. Step 3: Cross multiply
    312,200x = 663,274 × 663,274
  4. Step 4: Simplify right side
    312,200x = 439,932,399,076
  5. Step 5: Solve for x
    x = 439,932,399,076/312,200
  6. Step 6: Final answer
    x = 1,409,136.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.