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Finding the Third Proportional to 308,893.50 and 676,836

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Solution

The third proportional to 308,893.50 and 676,836 is: 1,483,057.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,893.50 : 676,836 = 676,836 : x
  2. Step 2: Convert to fraction form
    308,893.50/676,836 = 676,836/x
  3. Step 3: Cross multiply
    308,893.50x = 676,836 × 676,836
  4. Step 4: Simplify right side
    308,893.50x = 458,106,970,896
  5. Step 5: Solve for x
    x = 458,106,970,896/308,893.50
  6. Step 6: Final answer
    x = 1,483,057.98

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Why These Related Problems?

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