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Finding the Third Proportional to 311,850 and 673,555.50

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Solution

The third proportional to 311,850 and 673,555.50 is: 1,454,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,850 : 673,555.50 = 673,555.50 : x
  2. Step 2: Convert to fraction form
    311,850/673,555.50 = 673,555.50/x
  3. Step 3: Cross multiply
    311,850x = 673,555.50 × 673,555.50
  4. Step 4: Simplify right side
    311,850x = 453,677,011,580.25
  5. Step 5: Solve for x
    x = 453,677,011,580.25/311,850
  6. Step 6: Final answer
    x = 1,454,792.41

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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.