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Finding the Third Proportional to 212,131 and 457,455

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Solution

The third proportional to 212,131 and 457,455 is: 986,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,131 : 457,455 = 457,455 : x
  2. Step 2: Convert to fraction form
    212,131/457,455 = 457,455/x
  3. Step 3: Cross multiply
    212,131x = 457,455 × 457,455
  4. Step 4: Simplify right side
    212,131x = 209,265,077,025
  5. Step 5: Solve for x
    x = 209,265,077,025/212,131
  6. Step 6: Final answer
    x = 986,489.84

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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.