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Finding the Third Proportional to 311,130 and 469,559.25

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Solution

The third proportional to 311,130 and 469,559.25 is: 708,661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,130 : 469,559.25 = 469,559.25 : x
  2. Step 2: Convert to fraction form
    311,130/469,559.25 = 469,559.25/x
  3. Step 3: Cross multiply
    311,130x = 469,559.25 × 469,559.25
  4. Step 4: Simplify right side
    311,130x = 220,485,889,260.56
  5. Step 5: Solve for x
    x = 220,485,889,260.56/311,130
  6. Step 6: Final answer
    x = 708,661.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.