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Finding the Third Proportional to 208,706.63 and 444,401.44

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Solution

The third proportional to 208,706.63 and 444,401.44 is: 946,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,706.63 : 444,401.44 = 444,401.44 : x
  2. Step 2: Convert to fraction form
    208,706.63/444,401.44 = 444,401.44/x
  3. Step 3: Cross multiply
    208,706.63x = 444,401.44 × 444,401.44
  4. Step 4: Simplify right side
    208,706.63x = 197,492,637,652.07
  5. Step 5: Solve for x
    x = 197,492,637,652.07/208,706.63
  6. Step 6: Final answer
    x = 946,269.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.