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Finding the Third Proportional to 213,503 and 459,994

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Solution

The third proportional to 213,503 and 459,994 is: 991,060.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,503 : 459,994 = 459,994 : x
  2. Step 2: Convert to fraction form
    213,503/459,994 = 459,994/x
  3. Step 3: Cross multiply
    213,503x = 459,994 × 459,994
  4. Step 4: Simplify right side
    213,503x = 211,594,480,036
  5. Step 5: Solve for x
    x = 211,594,480,036/213,503
  6. Step 6: Final answer
    x = 991,060.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.