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Finding the Third Proportional to 203,945.63 and 448,669.13

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Solution

The third proportional to 203,945.63 and 448,669.13 is: 987,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,945.63 : 448,669.13 = 448,669.13 : x
  2. Step 2: Convert to fraction form
    203,945.63/448,669.13 = 448,669.13/x
  3. Step 3: Cross multiply
    203,945.63x = 448,669.13 × 448,669.13
  4. Step 4: Simplify right side
    203,945.63x = 201,303,983,728.27
  5. Step 5: Solve for x
    x = 201,303,983,728.27/203,945.63
  6. Step 6: Final answer
    x = 987,047.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.