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Finding the Third Proportional to 307,720.50 and 451,596

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Solution

The third proportional to 307,720.50 and 451,596 is: 662,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,720.50 : 451,596 = 451,596 : x
  2. Step 2: Convert to fraction form
    307,720.50/451,596 = 451,596/x
  3. Step 3: Cross multiply
    307,720.50x = 451,596 × 451,596
  4. Step 4: Simplify right side
    307,720.50x = 203,938,947,216
  5. Step 5: Solve for x
    x = 203,938,947,216/307,720.50
  6. Step 6: Final answer
    x = 662,740.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.