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Finding the Third Proportional to 212,093 and 457,396

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Solution

The third proportional to 212,093 and 457,396 is: 986,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,093 : 457,396 = 457,396 : x
  2. Step 2: Convert to fraction form
    212,093/457,396 = 457,396/x
  3. Step 3: Cross multiply
    212,093x = 457,396 × 457,396
  4. Step 4: Simplify right side
    212,093x = 209,211,100,816
  5. Step 5: Solve for x
    x = 209,211,100,816/212,093
  6. Step 6: Final answer
    x = 986,412.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.