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Finding the Third Proportional to 208,085 and 448,947

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Solution

The third proportional to 208,085 and 448,947 is: 968,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,085 : 448,947 = 448,947 : x
  2. Step 2: Convert to fraction form
    208,085/448,947 = 448,947/x
  3. Step 3: Cross multiply
    208,085x = 448,947 × 448,947
  4. Step 4: Simplify right side
    208,085x = 201,553,408,809
  5. Step 5: Solve for x
    x = 201,553,408,809/208,085
  6. Step 6: Final answer
    x = 968,610.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.