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Finding the Third Proportional to 203,477.63 and 446,311.13

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Solution

The third proportional to 203,477.63 and 446,311.13 is: 978,946.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,477.63 : 446,311.13 = 446,311.13 : x
  2. Step 2: Convert to fraction form
    203,477.63/446,311.13 = 446,311.13/x
  3. Step 3: Cross multiply
    203,477.63x = 446,311.13 × 446,311.13
  4. Step 4: Simplify right side
    203,477.63x = 199,193,620,298.77
  5. Step 5: Solve for x
    x = 199,193,620,298.77/203,477.63
  6. Step 6: Final answer
    x = 978,946.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.