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Finding the Third Proportional to 451,783.50 and 941,023

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Solution

The third proportional to 451,783.50 and 941,023 is: 1,960,063.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,783.50 : 941,023 = 941,023 : x
  2. Step 2: Convert to fraction form
    451,783.50/941,023 = 941,023/x
  3. Step 3: Cross multiply
    451,783.50x = 941,023 × 941,023
  4. Step 4: Simplify right side
    451,783.50x = 885,524,286,529
  5. Step 5: Solve for x
    x = 885,524,286,529/451,783.50
  6. Step 6: Final answer
    x = 1,960,063.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.