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Finding the Third Proportional to 201,466.83 and 441,684.14

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Solution

The third proportional to 201,466.83 and 441,684.14 is: 968,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,466.83 : 441,684.14 = 441,684.14 : x
  2. Step 2: Convert to fraction form
    201,466.83/441,684.14 = 441,684.14/x
  3. Step 3: Cross multiply
    201,466.83x = 441,684.14 × 441,684.14
  4. Step 4: Simplify right side
    201,466.83x = 195,084,880,079.65
  5. Step 5: Solve for x
    x = 195,084,880,079.65/201,466.83
  6. Step 6: Final answer
    x = 968,322.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.