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Finding the Third Proportional to 213,672 and 467,034

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Solution

The third proportional to 213,672 and 467,034 is: 1,020,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,672 : 467,034 = 467,034 : x
  2. Step 2: Convert to fraction form
    213,672/467,034 = 467,034/x
  3. Step 3: Cross multiply
    213,672x = 467,034 × 467,034
  4. Step 4: Simplify right side
    213,672x = 218,120,757,156
  5. Step 5: Solve for x
    x = 218,120,757,156/213,672
  6. Step 6: Final answer
    x = 1,020,820.50

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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.