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Finding the Third Proportional to 208,605.75 and 448,647.75

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Solution

The third proportional to 208,605.75 and 448,647.75 is: 964,905.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,605.75 : 448,647.75 = 448,647.75 : x
  2. Step 2: Convert to fraction form
    208,605.75/448,647.75 = 448,647.75/x
  3. Step 3: Cross multiply
    208,605.75x = 448,647.75 × 448,647.75
  4. Step 4: Simplify right side
    208,605.75x = 201,284,803,580.06
  5. Step 5: Solve for x
    x = 201,284,803,580.06/208,605.75
  6. Step 6: Final answer
    x = 964,905.35

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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.