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Finding the Third Proportional to 308,954.50 and 676,961

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Solution

The third proportional to 308,954.50 and 676,961 is: 1,483,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,954.50 : 676,961 = 676,961 : x
  2. Step 2: Convert to fraction form
    308,954.50/676,961 = 676,961/x
  3. Step 3: Cross multiply
    308,954.50x = 676,961 × 676,961
  4. Step 4: Simplify right side
    308,954.50x = 458,276,195,521
  5. Step 5: Solve for x
    x = 458,276,195,521/308,954.50
  6. Step 6: Final answer
    x = 1,483,312.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.