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Finding the Third Proportional to 208,354 and 441,444

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Solution

The third proportional to 208,354 and 441,444 is: 935,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,354 : 441,444 = 441,444 : x
  2. Step 2: Convert to fraction form
    208,354/441,444 = 441,444/x
  3. Step 3: Cross multiply
    208,354x = 441,444 × 441,444
  4. Step 4: Simplify right side
    208,354x = 194,872,805,136
  5. Step 5: Solve for x
    x = 194,872,805,136/208,354
  6. Step 6: Final answer
    x = 935,296.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.