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Finding the Third Proportional to 213,246 and 459,741

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Solution

The third proportional to 213,246 and 459,741 is: 991,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,246 : 459,741 = 459,741 : x
  2. Step 2: Convert to fraction form
    213,246/459,741 = 459,741/x
  3. Step 3: Cross multiply
    213,246x = 459,741 × 459,741
  4. Step 4: Simplify right side
    213,246x = 211,361,787,081
  5. Step 5: Solve for x
    x = 211,361,787,081/213,246
  6. Step 6: Final answer
    x = 991,164.13

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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.