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Finding the Third Proportional to 294,844 and 441,803

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Solution

The third proportional to 294,844 and 441,803 is: 662,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,844 : 441,803 = 441,803 : x
  2. Step 2: Convert to fraction form
    294,844/441,803 = 441,803/x
  3. Step 3: Cross multiply
    294,844x = 441,803 × 441,803
  4. Step 4: Simplify right side
    294,844x = 195,189,890,809
  5. Step 5: Solve for x
    x = 195,189,890,809/294,844
  6. Step 6: Final answer
    x = 662,010.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.