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Finding the Third Proportional to 311,856 and 673,567.50

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Solution

The third proportional to 311,856 and 673,567.50 is: 1,454,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,856 : 673,567.50 = 673,567.50 : x
  2. Step 2: Convert to fraction form
    311,856/673,567.50 = 673,567.50/x
  3. Step 3: Cross multiply
    311,856x = 673,567.50 × 673,567.50
  4. Step 4: Simplify right side
    311,856x = 453,693,177,056.25
  5. Step 5: Solve for x
    x = 453,693,177,056.25/311,856
  6. Step 6: Final answer
    x = 1,454,816.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.