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Finding the Third Proportional to 224,720 and 480,544

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Solution

The third proportional to 224,720 and 480,544 is: 1,027,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,720 : 480,544 = 480,544 : x
  2. Step 2: Convert to fraction form
    224,720/480,544 = 480,544/x
  3. Step 3: Cross multiply
    224,720x = 480,544 × 480,544
  4. Step 4: Simplify right side
    224,720x = 230,922,535,936
  5. Step 5: Solve for x
    x = 230,922,535,936/224,720
  6. Step 6: Final answer
    x = 1,027,601.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.