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Finding the Third Proportional to 362,344 and 492,054

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Solution

The third proportional to 362,344 and 492,054 is: 668,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,344 : 492,054 = 492,054 : x
  2. Step 2: Convert to fraction form
    362,344/492,054 = 492,054/x
  3. Step 3: Cross multiply
    362,344x = 492,054 × 492,054
  4. Step 4: Simplify right side
    362,344x = 242,117,138,916
  5. Step 5: Solve for x
    x = 242,117,138,916/362,344
  6. Step 6: Final answer
    x = 668,196.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.