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Finding the Third Proportional to 209 and 448.63

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Solution

The third proportional to 209 and 448.63 is: 962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209 : 448.63 = 448.63 : x
  2. Step 2: Convert to fraction form
    209/448.63 = 448.63/x
  3. Step 3: Cross multiply
    209x = 448.63 × 448.63
  4. Step 4: Simplify right side
    209x = 201,264.39
  5. Step 5: Solve for x
    x = 201,264.39/209
  6. Step 6: Final answer
    x = 962.99

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Why These Related Problems?

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