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Finding the Third Proportional to 213,392 and 459,864

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Solution

The third proportional to 213,392 and 459,864 is: 991,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,392 : 459,864 = 459,864 : x
  2. Step 2: Convert to fraction form
    213,392/459,864 = 459,864/x
  3. Step 3: Cross multiply
    213,392x = 459,864 × 459,864
  4. Step 4: Simplify right side
    213,392x = 211,474,898,496
  5. Step 5: Solve for x
    x = 211,474,898,496/213,392
  6. Step 6: Final answer
    x = 991,016.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.