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Finding the Third Proportional to 311,674.50 and 483,549.75

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Solution

The third proportional to 311,674.50 and 483,549.75 is: 750,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,674.50 : 483,549.75 = 483,549.75 : x
  2. Step 2: Convert to fraction form
    311,674.50/483,549.75 = 483,549.75/x
  3. Step 3: Cross multiply
    311,674.50x = 483,549.75 × 483,549.75
  4. Step 4: Simplify right side
    311,674.50x = 233,820,360,725.06
  5. Step 5: Solve for x
    x = 233,820,360,725.06/311,674.50
  6. Step 6: Final answer
    x = 750,206.90

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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.