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Finding the Third Proportional to 211,194 and 459,566

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Solution

The third proportional to 211,194 and 459,566 is: 1,000,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,194 : 459,566 = 459,566 : x
  2. Step 2: Convert to fraction form
    211,194/459,566 = 459,566/x
  3. Step 3: Cross multiply
    211,194x = 459,566 × 459,566
  4. Step 4: Simplify right side
    211,194x = 211,200,908,356
  5. Step 5: Solve for x
    x = 211,200,908,356/211,194
  6. Step 6: Final answer
    x = 1,000,032.71

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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.