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Finding the Third Proportional to 211,190 and 439,854

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Solution

The third proportional to 211,190 and 439,854 is: 916,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,190 : 439,854 = 439,854 : x
  2. Step 2: Convert to fraction form
    211,190/439,854 = 439,854/x
  3. Step 3: Cross multiply
    211,190x = 439,854 × 439,854
  4. Step 4: Simplify right side
    211,190x = 193,471,541,316
  5. Step 5: Solve for x
    x = 193,471,541,316/211,190
  6. Step 6: Final answer
    x = 916,101.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.