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Finding the Third Proportional to 208,428.19 and 454,992.19

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Solution

The third proportional to 208,428.19 and 454,992.19 is: 993,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,428.19 : 454,992.19 = 454,992.19 : x
  2. Step 2: Convert to fraction form
    208,428.19/454,992.19 = 454,992.19/x
  3. Step 3: Cross multiply
    208,428.19x = 454,992.19 × 454,992.19
  4. Step 4: Simplify right side
    208,428.19x = 207,017,890,686.04
  5. Step 5: Solve for x
    x = 207,017,890,686.04/208,428.19
  6. Step 6: Final answer
    x = 993,233.66

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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.