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Finding the Third Proportional to 211,193 and 459,565

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Solution

The third proportional to 211,193 and 459,565 is: 1,000,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,193 : 459,565 = 459,565 : x
  2. Step 2: Convert to fraction form
    211,193/459,565 = 459,565/x
  3. Step 3: Cross multiply
    211,193x = 459,565 × 459,565
  4. Step 4: Simplify right side
    211,193x = 211,199,989,225
  5. Step 5: Solve for x
    x = 211,199,989,225/211,193
  6. Step 6: Final answer
    x = 1,000,033.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.