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Finding the Third Proportional to 311,647.50 and 465,420.94

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Solution

The third proportional to 311,647.50 and 465,420.94 is: 695,069.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,647.50 : 465,420.94 = 465,420.94 : x
  2. Step 2: Convert to fraction form
    311,647.50/465,420.94 = 465,420.94/x
  3. Step 3: Cross multiply
    311,647.50x = 465,420.94 × 465,420.94
  4. Step 4: Simplify right side
    311,647.50x = 216,616,649,063.38
  5. Step 5: Solve for x
    x = 216,616,649,063.38/311,647.50
  6. Step 6: Final answer
    x = 695,069.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.