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Finding the Third Proportional to 208,328 and 448,300

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Solution

The third proportional to 208,328 and 448,300 is: 964,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,328 : 448,300 = 448,300 : x
  2. Step 2: Convert to fraction form
    208,328/448,300 = 448,300/x
  3. Step 3: Cross multiply
    208,328x = 448,300 × 448,300
  4. Step 4: Simplify right side
    208,328x = 200,972,890,000
  5. Step 5: Solve for x
    x = 200,972,890,000/208,328
  6. Step 6: Final answer
    x = 964,694.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.