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Finding the Third Proportional to 208,371 and 447,804

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Solution

The third proportional to 208,371 and 447,804 is: 962,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,371 : 447,804 = 447,804 : x
  2. Step 2: Convert to fraction form
    208,371/447,804 = 447,804/x
  3. Step 3: Cross multiply
    208,371x = 447,804 × 447,804
  4. Step 4: Simplify right side
    208,371x = 200,528,422,416
  5. Step 5: Solve for x
    x = 200,528,422,416/208,371
  6. Step 6: Final answer
    x = 962,362.43

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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.