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Finding the Third Proportional to 202,570.88 and 440,817.19

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Solution

The third proportional to 202,570.88 and 440,817.19 is: 959,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,570.88 : 440,817.19 = 440,817.19 : x
  2. Step 2: Convert to fraction form
    202,570.88/440,817.19 = 440,817.19/x
  3. Step 3: Cross multiply
    202,570.88x = 440,817.19 × 440,817.19
  4. Step 4: Simplify right side
    202,570.88x = 194,319,792,795.41
  5. Step 5: Solve for x
    x = 194,319,792,795.41/202,570.88
  6. Step 6: Final answer
    x = 959,268.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.