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Finding the Third Proportional to 224,646.75 and 483,544.69

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Solution

The third proportional to 224,646.75 and 483,544.69 is: 1,040,813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,646.75 : 483,544.69 = 483,544.69 : x
  2. Step 2: Convert to fraction form
    224,646.75/483,544.69 = 483,544.69/x
  3. Step 3: Cross multiply
    224,646.75x = 483,544.69 × 483,544.69
  4. Step 4: Simplify right side
    224,646.75x = 233,815,464,809.47
  5. Step 5: Solve for x
    x = 233,815,464,809.47/224,646.75
  6. Step 6: Final answer
    x = 1,040,813.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.