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Finding the Third Proportional to 480,900.50 and 747,601

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Solution

The third proportional to 480,900.50 and 747,601 is: 1,162,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,900.50 : 747,601 = 747,601 : x
  2. Step 2: Convert to fraction form
    480,900.50/747,601 = 747,601/x
  3. Step 3: Cross multiply
    480,900.50x = 747,601 × 747,601
  4. Step 4: Simplify right side
    480,900.50x = 558,907,255,201
  5. Step 5: Solve for x
    x = 558,907,255,201/480,900.50
  6. Step 6: Final answer
    x = 1,162,209.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.