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Finding the Third Proportional to 203,735 and 448,082

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Solution

The third proportional to 203,735 and 448,082 is: 985,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,735 : 448,082 = 448,082 : x
  2. Step 2: Convert to fraction form
    203,735/448,082 = 448,082/x
  3. Step 3: Cross multiply
    203,735x = 448,082 × 448,082
  4. Step 4: Simplify right side
    203,735x = 200,777,478,724
  5. Step 5: Solve for x
    x = 200,777,478,724/203,735
  6. Step 6: Final answer
    x = 985,483.49

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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.