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Finding the Third Proportional to 205,011.84 and 443,719.69

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Solution

The third proportional to 205,011.84 and 443,719.69 is: 960,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,011.84 : 443,719.69 = 443,719.69 : x
  2. Step 2: Convert to fraction form
    205,011.84/443,719.69 = 443,719.69/x
  3. Step 3: Cross multiply
    205,011.84x = 443,719.69 × 443,719.69
  4. Step 4: Simplify right side
    205,011.84x = 196,887,161,075.10
  5. Step 5: Solve for x
    x = 196,887,161,075.10/205,011.84
  6. Step 6: Final answer
    x = 960,369.69

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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.