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Finding the Third Proportional to 208,433 and 439,834

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Solution

The third proportional to 208,433 and 439,834 is: 928,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,433 : 439,834 = 439,834 : x
  2. Step 2: Convert to fraction form
    208,433/439,834 = 439,834/x
  3. Step 3: Cross multiply
    208,433x = 439,834 × 439,834
  4. Step 4: Simplify right side
    208,433x = 193,453,947,556
  5. Step 5: Solve for x
    x = 193,453,947,556/208,433
  6. Step 6: Final answer
    x = 928,134.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.