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Finding the Third Proportional to 308,878.50 and 676,806

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Solution

The third proportional to 308,878.50 and 676,806 is: 1,482,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,878.50 : 676,806 = 676,806 : x
  2. Step 2: Convert to fraction form
    308,878.50/676,806 = 676,806/x
  3. Step 3: Cross multiply
    308,878.50x = 676,806 × 676,806
  4. Step 4: Simplify right side
    308,878.50x = 458,066,361,636
  5. Step 5: Solve for x
    x = 458,066,361,636/308,878.50
  6. Step 6: Final answer
    x = 1,482,998.53

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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.