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Finding the Third Proportional to 386,914 and 434,891

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Solution

The third proportional to 386,914 and 434,891 is: 488,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,914 : 434,891 = 434,891 : x
  2. Step 2: Convert to fraction form
    386,914/434,891 = 434,891/x
  3. Step 3: Cross multiply
    386,914x = 434,891 × 434,891
  4. Step 4: Simplify right side
    386,914x = 189,130,181,881
  5. Step 5: Solve for x
    x = 189,130,181,881/386,914
  6. Step 6: Final answer
    x = 488,817.11

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.