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Finding the Third Proportional to 370.50 and 785.50

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Solution

The third proportional to 370.50 and 785.50 is: 1,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.50 : 785.50 = 785.50 : x
  2. Step 2: Convert to fraction form
    370.50/785.50 = 785.50/x
  3. Step 3: Cross multiply
    370.50x = 785.50 × 785.50
  4. Step 4: Simplify right side
    370.50x = 617,010.25
  5. Step 5: Solve for x
    x = 617,010.25/370.50
  6. Step 6: Final answer
    x = 1,665.34

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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.