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Finding the Third Proportional to 462,652 and 674,286

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Solution

The third proportional to 462,652 and 674,286 is: 982,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,652 : 674,286 = 674,286 : x
  2. Step 2: Convert to fraction form
    462,652/674,286 = 674,286/x
  3. Step 3: Cross multiply
    462,652x = 674,286 × 674,286
  4. Step 4: Simplify right side
    462,652x = 454,661,609,796
  5. Step 5: Solve for x
    x = 454,661,609,796/462,652
  6. Step 6: Final answer
    x = 982,729.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.