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Finding the Third Proportional to 211,191 and 459,560

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Solution

The third proportional to 211,191 and 459,560 is: 1,000,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,191 : 459,560 = 459,560 : x
  2. Step 2: Convert to fraction form
    211,191/459,560 = 459,560/x
  3. Step 3: Cross multiply
    211,191x = 459,560 × 459,560
  4. Step 4: Simplify right side
    211,191x = 211,195,393,600
  5. Step 5: Solve for x
    x = 211,195,393,600/211,191
  6. Step 6: Final answer
    x = 1,000,020.80

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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.