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Finding the Third Proportional to 303,616 and 453,728

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Solution

The third proportional to 303,616 and 453,728 is: 678,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,616 : 453,728 = 453,728 : x
  2. Step 2: Convert to fraction form
    303,616/453,728 = 453,728/x
  3. Step 3: Cross multiply
    303,616x = 453,728 × 453,728
  4. Step 4: Simplify right side
    303,616x = 205,869,097,984
  5. Step 5: Solve for x
    x = 205,869,097,984/303,616
  6. Step 6: Final answer
    x = 678,057.47

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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.