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Finding the Third Proportional to 303,641 and 453,788

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Solution

The third proportional to 303,641 and 453,788 is: 678,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,641 : 453,788 = 453,788 : x
  2. Step 2: Convert to fraction form
    303,641/453,788 = 453,788/x
  3. Step 3: Cross multiply
    303,641x = 453,788 × 453,788
  4. Step 4: Simplify right side
    303,641x = 205,923,548,944
  5. Step 5: Solve for x
    x = 205,923,548,944/303,641
  6. Step 6: Final answer
    x = 678,180.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.