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Finding the Third Proportional to 500,373 and 737,323.50

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Solution

The third proportional to 500,373 and 737,323.50 is: 1,086,481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,373 : 737,323.50 = 737,323.50 : x
  2. Step 2: Convert to fraction form
    500,373/737,323.50 = 737,323.50/x
  3. Step 3: Cross multiply
    500,373x = 737,323.50 × 737,323.50
  4. Step 4: Simplify right side
    500,373x = 543,645,943,652.25
  5. Step 5: Solve for x
    x = 543,645,943,652.25/500,373
  6. Step 6: Final answer
    x = 1,086,481.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.