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Finding the Third Proportional to 308,128 and 646,064

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Solution

The third proportional to 308,128 and 646,064 is: 1,354,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,128 : 646,064 = 646,064 : x
  2. Step 2: Convert to fraction form
    308,128/646,064 = 646,064/x
  3. Step 3: Cross multiply
    308,128x = 646,064 × 646,064
  4. Step 4: Simplify right side
    308,128x = 417,398,692,096
  5. Step 5: Solve for x
    x = 417,398,692,096/308,128
  6. Step 6: Final answer
    x = 1,354,627.60

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.