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Finding the Third Proportional to 213,389 and 459,860

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Solution

The third proportional to 213,389 and 459,860 is: 991,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,389 : 459,860 = 459,860 : x
  2. Step 2: Convert to fraction form
    213,389/459,860 = 459,860/x
  3. Step 3: Cross multiply
    213,389x = 459,860 × 459,860
  4. Step 4: Simplify right side
    213,389x = 211,471,219,600
  5. Step 5: Solve for x
    x = 211,471,219,600/213,389
  6. Step 6: Final answer
    x = 991,012.75

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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.