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Finding the Third Proportional to 303,661 and 432,571

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Solution

The third proportional to 303,661 and 432,571 is: 616,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,661 : 432,571 = 432,571 : x
  2. Step 2: Convert to fraction form
    303,661/432,571 = 432,571/x
  3. Step 3: Cross multiply
    303,661x = 432,571 × 432,571
  4. Step 4: Simplify right side
    303,661x = 187,117,670,041
  5. Step 5: Solve for x
    x = 187,117,670,041/303,661
  6. Step 6: Final answer
    x = 616,205.80

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.