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Finding the Third Proportional to 303,972.75 and 456,121.13

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Solution

The third proportional to 303,972.75 and 456,121.13 is: 684,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,972.75 : 456,121.13 = 456,121.13 : x
  2. Step 2: Convert to fraction form
    303,972.75/456,121.13 = 456,121.13/x
  3. Step 3: Cross multiply
    303,972.75x = 456,121.13 × 456,121.13
  4. Step 4: Simplify right side
    303,972.75x = 208,046,480,671.27
  5. Step 5: Solve for x
    x = 208,046,480,671.27/303,972.75
  6. Step 6: Final answer
    x = 684,424.77

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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.