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Finding the Third Proportional to 311,727 and 483,628.50

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Solution

The third proportional to 311,727 and 483,628.50 is: 750,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,727 : 483,628.50 = 483,628.50 : x
  2. Step 2: Convert to fraction form
    311,727/483,628.50 = 483,628.50/x
  3. Step 3: Cross multiply
    311,727x = 483,628.50 × 483,628.50
  4. Step 4: Simplify right side
    311,727x = 233,896,526,012.25
  5. Step 5: Solve for x
    x = 233,896,526,012.25/311,727
  6. Step 6: Final answer
    x = 750,324.89

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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.