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Finding the Third Proportional to 211,234 and 439,946

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Solution

The third proportional to 211,234 and 439,946 is: 916,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,234 : 439,946 = 439,946 : x
  2. Step 2: Convert to fraction form
    211,234/439,946 = 439,946/x
  3. Step 3: Cross multiply
    211,234x = 439,946 × 439,946
  4. Step 4: Simplify right side
    211,234x = 193,552,482,916
  5. Step 5: Solve for x
    x = 193,552,482,916/211,234
  6. Step 6: Final answer
    x = 916,294.17

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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.