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Finding the Third Proportional to 308,869.50 and 676,788

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Solution

The third proportional to 308,869.50 and 676,788 is: 1,482,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,869.50 : 676,788 = 676,788 : x
  2. Step 2: Convert to fraction form
    308,869.50/676,788 = 676,788/x
  3. Step 3: Cross multiply
    308,869.50x = 676,788 × 676,788
  4. Step 4: Simplify right side
    308,869.50x = 458,041,996,944
  5. Step 5: Solve for x
    x = 458,041,996,944/308,869.50
  6. Step 6: Final answer
    x = 1,482,962.86

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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.