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Finding the Third Proportional to 371.25 and 785.53

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Solution

The third proportional to 371.25 and 785.53 is: 1,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.25 : 785.53 = 785.53 : x
  2. Step 2: Convert to fraction form
    371.25/785.53 = 785.53/x
  3. Step 3: Cross multiply
    371.25x = 785.53 × 785.53
  4. Step 4: Simplify right side
    371.25x = 617,059.34
  5. Step 5: Solve for x
    x = 617,059.34/371.25
  6. Step 6: Final answer
    x = 1,662.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.