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Finding the Third Proportional to 300,083 and 453,338

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Solution

The third proportional to 300,083 and 453,338 is: 684,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,083 : 453,338 = 453,338 : x
  2. Step 2: Convert to fraction form
    300,083/453,338 = 453,338/x
  3. Step 3: Cross multiply
    300,083x = 453,338 × 453,338
  4. Step 4: Simplify right side
    300,083x = 205,515,342,244
  5. Step 5: Solve for x
    x = 205,515,342,244/300,083
  6. Step 6: Final answer
    x = 684,861.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.