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Finding the Third Proportional to 211,192 and 459,564

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Solution

The third proportional to 211,192 and 459,564 is: 1,000,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,192 : 459,564 = 459,564 : x
  2. Step 2: Convert to fraction form
    211,192/459,564 = 459,564/x
  3. Step 3: Cross multiply
    211,192x = 459,564 × 459,564
  4. Step 4: Simplify right side
    211,192x = 211,199,070,096
  5. Step 5: Solve for x
    x = 211,199,070,096/211,192
  6. Step 6: Final answer
    x = 1,000,033.48

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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.