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Finding the Third Proportional to 308,122 and 459,627

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Solution

The third proportional to 308,122 and 459,627 is: 685,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,122 : 459,627 = 459,627 : x
  2. Step 2: Convert to fraction form
    308,122/459,627 = 459,627/x
  3. Step 3: Cross multiply
    308,122x = 459,627 × 459,627
  4. Step 4: Simplify right side
    308,122x = 211,256,979,129
  5. Step 5: Solve for x
    x = 211,256,979,129/308,122
  6. Step 6: Final answer
    x = 685,627.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.