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Finding the Third Proportional to 212,924 and 454,414

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Solution

The third proportional to 212,924 and 454,414 is: 969,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,924 : 454,414 = 454,414 : x
  2. Step 2: Convert to fraction form
    212,924/454,414 = 454,414/x
  3. Step 3: Cross multiply
    212,924x = 454,414 × 454,414
  4. Step 4: Simplify right side
    212,924x = 206,492,083,396
  5. Step 5: Solve for x
    x = 206,492,083,396/212,924
  6. Step 6: Final answer
    x = 969,792.43

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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.