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Finding the Third Proportional to 946.41 and 1,436.70

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Solution

The third proportional to 946.41 and 1,436.70 is: 2,180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.41 : 1,436.70 = 1,436.70 : x
  2. Step 2: Convert to fraction form
    946.41/1,436.70 = 1,436.70/x
  3. Step 3: Cross multiply
    946.41x = 1,436.70 × 1,436.70
  4. Step 4: Simplify right side
    946.41x = 2,064,093.42
  5. Step 5: Solve for x
    x = 2,064,093.42/946.41
  6. Step 6: Final answer
    x = 2,180.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.