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Finding the Third Proportional to 434,408.06 and 943,552.13

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Solution

The third proportional to 434,408.06 and 943,552.13 is: 2,049,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,408.06 : 943,552.13 = 943,552.13 : x
  2. Step 2: Convert to fraction form
    434,408.06/943,552.13 = 943,552.13/x
  3. Step 3: Cross multiply
    434,408.06x = 943,552.13 × 943,552.13
  4. Step 4: Simplify right side
    434,408.06x = 890,290,612,592.02
  5. Step 5: Solve for x
    x = 890,290,612,592.02/434,408.06
  6. Step 6: Final answer
    x = 2,049,433.91

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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.