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Finding the Third Proportional to 303,060 and 454,590

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Solution

The third proportional to 303,060 and 454,590 is: 681,885

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,060 : 454,590 = 454,590 : x
  2. Step 2: Convert to fraction form
    303,060/454,590 = 454,590/x
  3. Step 3: Cross multiply
    303,060x = 454,590 × 454,590
  4. Step 4: Simplify right side
    303,060x = 206,652,068,100
  5. Step 5: Solve for x
    x = 206,652,068,100/303,060
  6. Step 6: Final answer
    x = 681,885

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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.