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Finding the Third Proportional to 208,286 and 448,216

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Solution

The third proportional to 208,286 and 448,216 is: 964,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,286 : 448,216 = 448,216 : x
  2. Step 2: Convert to fraction form
    208,286/448,216 = 448,216/x
  3. Step 3: Cross multiply
    208,286x = 448,216 × 448,216
  4. Step 4: Simplify right side
    208,286x = 200,897,582,656
  5. Step 5: Solve for x
    x = 200,897,582,656/208,286
  6. Step 6: Final answer
    x = 964,527.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.