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Finding the Third Proportional to 214,606 and 462,428

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Solution

The third proportional to 214,606 and 462,428 is: 996,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,606 : 462,428 = 462,428 : x
  2. Step 2: Convert to fraction form
    214,606/462,428 = 462,428/x
  3. Step 3: Cross multiply
    214,606x = 462,428 × 462,428
  4. Step 4: Simplify right side
    214,606x = 213,839,655,184
  5. Step 5: Solve for x
    x = 213,839,655,184/214,606
  6. Step 6: Final answer
    x = 996,429.06

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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.