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Finding the Third Proportional to 213,336 and 466,848

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Solution

The third proportional to 213,336 and 466,848 is: 1,021,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,336 : 466,848 = 466,848 : x
  2. Step 2: Convert to fraction form
    213,336/466,848 = 466,848/x
  3. Step 3: Cross multiply
    213,336x = 466,848 × 466,848
  4. Step 4: Simplify right side
    213,336x = 217,947,055,104
  5. Step 5: Solve for x
    x = 217,947,055,104/213,336
  6. Step 6: Final answer
    x = 1,021,614.05

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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.