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Finding the Third Proportional to 209,056 and 445,082

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Solution

The third proportional to 209,056 and 445,082 is: 947,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,056 : 445,082 = 445,082 : x
  2. Step 2: Convert to fraction form
    209,056/445,082 = 445,082/x
  3. Step 3: Cross multiply
    209,056x = 445,082 × 445,082
  4. Step 4: Simplify right side
    209,056x = 198,097,986,724
  5. Step 5: Solve for x
    x = 198,097,986,724/209,056
  6. Step 6: Final answer
    x = 947,583.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.