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Finding the Third Proportional to 476.25 and 1,106.63

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Solution

The third proportional to 476.25 and 1,106.63 is: 2,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.25 : 1,106.63 = 1,106.63 : x
  2. Step 2: Convert to fraction form
    476.25/1,106.63 = 1,106.63/x
  3. Step 3: Cross multiply
    476.25x = 1,106.63 × 1,106.63
  4. Step 4: Simplify right side
    476.25x = 1,224,618.89
  5. Step 5: Solve for x
    x = 1,224,618.89/476.25
  6. Step 6: Final answer
    x = 2,571.38

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.