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Finding the Third Proportional to 434,871.75 and 881,976.94

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Solution

The third proportional to 434,871.75 and 881,976.94 is: 1,788,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,871.75 : 881,976.94 = 881,976.94 : x
  2. Step 2: Convert to fraction form
    434,871.75/881,976.94 = 881,976.94/x
  3. Step 3: Cross multiply
    434,871.75x = 881,976.94 × 881,976.94
  4. Step 4: Simplify right side
    434,871.75x = 777,883,318,281.88
  5. Step 5: Solve for x
    x = 777,883,318,281.88/434,871.75
  6. Step 6: Final answer
    x = 1,788,764.89

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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.