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Finding the Third Proportional to 285,364 and 674,860

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Solution

The third proportional to 285,364 and 674,860 is: 1,595,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,364 : 674,860 = 674,860 : x
  2. Step 2: Convert to fraction form
    285,364/674,860 = 674,860/x
  3. Step 3: Cross multiply
    285,364x = 674,860 × 674,860
  4. Step 4: Simplify right side
    285,364x = 455,436,019,600
  5. Step 5: Solve for x
    x = 455,436,019,600/285,364
  6. Step 6: Final answer
    x = 1,595,982.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.