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Finding the Third Proportional to 407,956.50 and 888,495.75

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Solution

The third proportional to 407,956.50 and 888,495.75 is: 1,935,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,956.50 : 888,495.75 = 888,495.75 : x
  2. Step 2: Convert to fraction form
    407,956.50/888,495.75 = 888,495.75/x
  3. Step 3: Cross multiply
    407,956.50x = 888,495.75 × 888,495.75
  4. Step 4: Simplify right side
    407,956.50x = 789,424,697,768.06
  5. Step 5: Solve for x
    x = 789,424,697,768.06/407,956.50
  6. Step 6: Final answer
    x = 1,935,070.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.