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Finding the Third Proportional to 415,224 and 650,512

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Solution

The third proportional to 415,224 and 650,512 is: 1,019,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,224 : 650,512 = 650,512 : x
  2. Step 2: Convert to fraction form
    415,224/650,512 = 650,512/x
  3. Step 3: Cross multiply
    415,224x = 650,512 × 650,512
  4. Step 4: Simplify right side
    415,224x = 423,165,862,144
  5. Step 5: Solve for x
    x = 423,165,862,144/415,224
  6. Step 6: Final answer
    x = 1,019,126.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.