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Finding the Third Proportional to 400,075.50 and 619,068

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Solution

The third proportional to 400,075.50 and 619,068 is: 957,932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,075.50 : 619,068 = 619,068 : x
  2. Step 2: Convert to fraction form
    400,075.50/619,068 = 619,068/x
  3. Step 3: Cross multiply
    400,075.50x = 619,068 × 619,068
  4. Step 4: Simplify right side
    400,075.50x = 383,245,188,624
  5. Step 5: Solve for x
    x = 383,245,188,624/400,075.50
  6. Step 6: Final answer
    x = 957,932.16

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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.