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Finding the Third Proportional to 434,418.75 and 943,573.50

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Solution

The third proportional to 434,418.75 and 943,573.50 is: 2,049,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,418.75 : 943,573.50 = 943,573.50 : x
  2. Step 2: Convert to fraction form
    434,418.75/943,573.50 = 943,573.50/x
  3. Step 3: Cross multiply
    434,418.75x = 943,573.50 × 943,573.50
  4. Step 4: Simplify right side
    434,418.75x = 890,330,949,902.25
  5. Step 5: Solve for x
    x = 890,330,949,902.25/434,418.75
  6. Step 6: Final answer
    x = 2,049,476.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.