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Finding the Third Proportional to 480,717 and 754,069.50

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Solution

The third proportional to 480,717 and 754,069.50 is: 1,182,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,717 : 754,069.50 = 754,069.50 : x
  2. Step 2: Convert to fraction form
    480,717/754,069.50 = 754,069.50/x
  3. Step 3: Cross multiply
    480,717x = 754,069.50 × 754,069.50
  4. Step 4: Simplify right side
    480,717x = 568,620,810,830.25
  5. Step 5: Solve for x
    x = 568,620,810,830.25/480,717
  6. Step 6: Final answer
    x = 1,182,859.79

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.