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Finding the Third Proportional to 204,319.13 and 445,423.13

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Solution

The third proportional to 204,319.13 and 445,423.13 is: 971,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,319.13 : 445,423.13 = 445,423.13 : x
  2. Step 2: Convert to fraction form
    204,319.13/445,423.13 = 445,423.13/x
  3. Step 3: Cross multiply
    204,319.13x = 445,423.13 × 445,423.13
  4. Step 4: Simplify right side
    204,319.13x = 198,401,760,284.77
  5. Step 5: Solve for x
    x = 198,401,760,284.77/204,319.13
  6. Step 6: Final answer
    x = 971,038.62

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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.