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Finding the Third Proportional to 303,571 and 452,896

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Solution

The third proportional to 303,571 and 452,896 is: 675,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,571 : 452,896 = 452,896 : x
  2. Step 2: Convert to fraction form
    303,571/452,896 = 452,896/x
  3. Step 3: Cross multiply
    303,571x = 452,896 × 452,896
  4. Step 4: Simplify right side
    303,571x = 205,114,786,816
  5. Step 5: Solve for x
    x = 205,114,786,816/303,571
  6. Step 6: Final answer
    x = 675,673.19

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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.