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Finding the Third Proportional to 281,568.94 and 435,855.38

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Solution

The third proportional to 281,568.94 and 435,855.38 is: 674,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,568.94 : 435,855.38 = 435,855.38 : x
  2. Step 2: Convert to fraction form
    281,568.94/435,855.38 = 435,855.38/x
  3. Step 3: Cross multiply
    281,568.94x = 435,855.38 × 435,855.38
  4. Step 4: Simplify right side
    281,568.94x = 189,969,907,916.39
  5. Step 5: Solve for x
    x = 189,969,907,916.39/281,568.94
  6. Step 6: Final answer
    x = 674,683.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.