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Finding the Third Proportional to 212,901 and 466,623

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Solution

The third proportional to 212,901 and 466,623 is: 1,022,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,901 : 466,623 = 466,623 : x
  2. Step 2: Convert to fraction form
    212,901/466,623 = 466,623/x
  3. Step 3: Cross multiply
    212,901x = 466,623 × 466,623
  4. Step 4: Simplify right side
    212,901x = 217,737,024,129
  5. Step 5: Solve for x
    x = 217,737,024,129/212,901
  6. Step 6: Final answer
    x = 1,022,714.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.