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Finding the Third Proportional to 211,572 and 324,072

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Solution

The third proportional to 211,572 and 324,072 is: 496,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,572 : 324,072 = 324,072 : x
  2. Step 2: Convert to fraction form
    211,572/324,072 = 324,072/x
  3. Step 3: Cross multiply
    211,572x = 324,072 × 324,072
  4. Step 4: Simplify right side
    211,572x = 105,022,661,184
  5. Step 5: Solve for x
    x = 105,022,661,184/211,572
  6. Step 6: Final answer
    x = 496,392.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.