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Finding the Third Proportional to 362,804 and 545,600

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Solution

The third proportional to 362,804 and 545,600 is: 820,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,804 : 545,600 = 545,600 : x
  2. Step 2: Convert to fraction form
    362,804/545,600 = 545,600/x
  3. Step 3: Cross multiply
    362,804x = 545,600 × 545,600
  4. Step 4: Simplify right side
    362,804x = 297,679,360,000
  5. Step 5: Solve for x
    x = 297,679,360,000/362,804
  6. Step 6: Final answer
    x = 820,496.36

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