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Finding the Third Proportional to 207,771 and 448,348.50

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Solution

The third proportional to 207,771 and 448,348.50 is: 967,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,771 : 448,348.50 = 448,348.50 : x
  2. Step 2: Convert to fraction form
    207,771/448,348.50 = 448,348.50/x
  3. Step 3: Cross multiply
    207,771x = 448,348.50 × 448,348.50
  4. Step 4: Simplify right side
    207,771x = 201,016,377,452.25
  5. Step 5: Solve for x
    x = 201,016,377,452.25/207,771
  6. Step 6: Final answer
    x = 967,490.06

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