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Finding the Third Proportional to 214,973 and 466,759

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Solution

The third proportional to 214,973 and 466,759 is: 1,013,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,973 : 466,759 = 466,759 : x
  2. Step 2: Convert to fraction form
    214,973/466,759 = 466,759/x
  3. Step 3: Cross multiply
    214,973x = 466,759 × 466,759
  4. Step 4: Simplify right side
    214,973x = 217,863,964,081
  5. Step 5: Solve for x
    x = 217,863,964,081/214,973
  6. Step 6: Final answer
    x = 1,013,448.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.