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Finding the Third Proportional to 285,453 and 614,754

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Solution

The third proportional to 285,453 and 614,754 is: 1,323,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,453 : 614,754 = 614,754 : x
  2. Step 2: Convert to fraction form
    285,453/614,754 = 614,754/x
  3. Step 3: Cross multiply
    285,453x = 614,754 × 614,754
  4. Step 4: Simplify right side
    285,453x = 377,922,480,516
  5. Step 5: Solve for x
    x = 377,922,480,516/285,453
  6. Step 6: Final answer
    x = 1,323,939.42

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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.