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Finding the Third Proportional to 303,571.50 and 452,895

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Solution

The third proportional to 303,571.50 and 452,895 is: 675,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,571.50 : 452,895 = 452,895 : x
  2. Step 2: Convert to fraction form
    303,571.50/452,895 = 452,895/x
  3. Step 3: Cross multiply
    303,571.50x = 452,895 × 452,895
  4. Step 4: Simplify right side
    303,571.50x = 205,113,881,025
  5. Step 5: Solve for x
    x = 205,113,881,025/303,571.50
  6. Step 6: Final answer
    x = 675,669.10

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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.