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Finding the Third Proportional to 292,264 and 628,200

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Solution

The third proportional to 292,264 and 628,200 is: 1,350,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,264 : 628,200 = 628,200 : x
  2. Step 2: Convert to fraction form
    292,264/628,200 = 628,200/x
  3. Step 3: Cross multiply
    292,264x = 628,200 × 628,200
  4. Step 4: Simplify right side
    292,264x = 394,635,240,000
  5. Step 5: Solve for x
    x = 394,635,240,000/292,264
  6. Step 6: Final answer
    x = 1,350,269.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.