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Finding the Third Proportional to 434,893.50 and 882,081

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Solution

The third proportional to 434,893.50 and 882,081 is: 1,789,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,893.50 : 882,081 = 882,081 : x
  2. Step 2: Convert to fraction form
    434,893.50/882,081 = 882,081/x
  3. Step 3: Cross multiply
    434,893.50x = 882,081 × 882,081
  4. Step 4: Simplify right side
    434,893.50x = 778,066,890,561
  5. Step 5: Solve for x
    x = 778,066,890,561/434,893.50
  6. Step 6: Final answer
    x = 1,789,097.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.