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Finding the Third Proportional to 211,194 and 439,862

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Solution

The third proportional to 211,194 and 439,862 is: 916,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,194 : 439,862 = 439,862 : x
  2. Step 2: Convert to fraction form
    211,194/439,862 = 439,862/x
  3. Step 3: Cross multiply
    211,194x = 439,862 × 439,862
  4. Step 4: Simplify right side
    211,194x = 193,478,579,044
  5. Step 5: Solve for x
    x = 193,478,579,044/211,194
  6. Step 6: Final answer
    x = 916,117.78

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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.