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Finding the Third Proportional to 362,806 and 545,603

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Solution

The third proportional to 362,806 and 545,603 is: 820,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,806 : 545,603 = 545,603 : x
  2. Step 2: Convert to fraction form
    362,806/545,603 = 545,603/x
  3. Step 3: Cross multiply
    362,806x = 545,603 × 545,603
  4. Step 4: Simplify right side
    362,806x = 297,682,633,609
  5. Step 5: Solve for x
    x = 297,682,633,609/362,806
  6. Step 6: Final answer
    x = 820,500.86

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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.