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Finding the Third Proportional to 214,976 and 466,764

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Solution

The third proportional to 214,976 and 466,764 is: 1,013,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,976 : 466,764 = 466,764 : x
  2. Step 2: Convert to fraction form
    214,976/466,764 = 466,764/x
  3. Step 3: Cross multiply
    214,976x = 466,764 × 466,764
  4. Step 4: Simplify right side
    214,976x = 217,868,631,696
  5. Step 5: Solve for x
    x = 217,868,631,696/214,976
  6. Step 6: Final answer
    x = 1,013,455.60

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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.