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Finding the Third Proportional to 214,651 and 466,175

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Solution

The third proportional to 214,651 and 466,175 is: 1,012,430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,651 : 466,175 = 466,175 : x
  2. Step 2: Convert to fraction form
    214,651/466,175 = 466,175/x
  3. Step 3: Cross multiply
    214,651x = 466,175 × 466,175
  4. Step 4: Simplify right side
    214,651x = 217,319,130,625
  5. Step 5: Solve for x
    x = 217,319,130,625/214,651
  6. Step 6: Final answer
    x = 1,012,430.09

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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.