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Finding the Third Proportional to 309,096 and 659,017.50

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Solution

The third proportional to 309,096 and 659,017.50 is: 1,405,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,096 : 659,017.50 = 659,017.50 : x
  2. Step 2: Convert to fraction form
    309,096/659,017.50 = 659,017.50/x
  3. Step 3: Cross multiply
    309,096x = 659,017.50 × 659,017.50
  4. Step 4: Simplify right side
    309,096x = 434,304,065,306.25
  5. Step 5: Solve for x
    x = 434,304,065,306.25/309,096
  6. Step 6: Final answer
    x = 1,405,078.25

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.