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Finding the Third Proportional to 362,914 and 544,734

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Solution

The third proportional to 362,914 and 544,734 is: 817,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,914 : 544,734 = 544,734 : x
  2. Step 2: Convert to fraction form
    362,914/544,734 = 544,734/x
  3. Step 3: Cross multiply
    362,914x = 544,734 × 544,734
  4. Step 4: Simplify right side
    362,914x = 296,735,130,756
  5. Step 5: Solve for x
    x = 296,735,130,756/362,914
  6. Step 6: Final answer
    x = 817,645.86

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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.