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Finding the Third Proportional to 741.23 and 1,503.77

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Solution

The third proportional to 741.23 and 1,503.77 is: 3,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.23 : 1,503.77 = 1,503.77 : x
  2. Step 2: Convert to fraction form
    741.23/1,503.77 = 1,503.77/x
  3. Step 3: Cross multiply
    741.23x = 1,503.77 × 1,503.77
  4. Step 4: Simplify right side
    741.23x = 2,261,334.55
  5. Step 5: Solve for x
    x = 2,261,334.55/741.23
  6. Step 6: Final answer
    x = 3,050.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.