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Finding the Third Proportional to 303,065 and 454,598

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Solution

The third proportional to 303,065 and 454,598 is: 681,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,065 : 454,598 = 454,598 : x
  2. Step 2: Convert to fraction form
    303,065/454,598 = 454,598/x
  3. Step 3: Cross multiply
    303,065x = 454,598 × 454,598
  4. Step 4: Simplify right side
    303,065x = 206,659,341,604
  5. Step 5: Solve for x
    x = 206,659,341,604/303,065
  6. Step 6: Final answer
    x = 681,897.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.