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Finding the Third Proportional to 384,008 and 853,252

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Solution

The third proportional to 384,008 and 853,252 is: 1,895,895.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,008 : 853,252 = 853,252 : x
  2. Step 2: Convert to fraction form
    384,008/853,252 = 853,252/x
  3. Step 3: Cross multiply
    384,008x = 853,252 × 853,252
  4. Step 4: Simplify right side
    384,008x = 728,038,975,504
  5. Step 5: Solve for x
    x = 728,038,975,504/384,008
  6. Step 6: Final answer
    x = 1,895,895.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.