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Finding the Third Proportional to 442,382.63 and 967,557.38

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Solution

The third proportional to 442,382.63 and 967,557.38 is: 2,116,193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,382.63 : 967,557.38 = 967,557.38 : x
  2. Step 2: Convert to fraction form
    442,382.63/967,557.38 = 967,557.38/x
  3. Step 3: Cross multiply
    442,382.63x = 967,557.38 × 967,557.38
  4. Step 4: Simplify right side
    442,382.63x = 936,167,273,916.89
  5. Step 5: Solve for x
    x = 936,167,273,916.89/442,382.63
  6. Step 6: Final answer
    x = 2,116,193.59

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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.