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Finding the Third Proportional to 336,869 and 492,159

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Solution

The third proportional to 336,869 and 492,159 is: 719,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,869 : 492,159 = 492,159 : x
  2. Step 2: Convert to fraction form
    336,869/492,159 = 492,159/x
  3. Step 3: Cross multiply
    336,869x = 492,159 × 492,159
  4. Step 4: Simplify right side
    336,869x = 242,220,481,281
  5. Step 5: Solve for x
    x = 242,220,481,281/336,869
  6. Step 6: Final answer
    x = 719,034.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.