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Finding the Third Proportional to 303,470 and 468,894

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Solution

The third proportional to 303,470 and 468,894 is: 724,491.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,470 : 468,894 = 468,894 : x
  2. Step 2: Convert to fraction form
    303,470/468,894 = 468,894/x
  3. Step 3: Cross multiply
    303,470x = 468,894 × 468,894
  4. Step 4: Simplify right side
    303,470x = 219,861,583,236
  5. Step 5: Solve for x
    x = 219,861,583,236/303,470
  6. Step 6: Final answer
    x = 724,491.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.