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Finding the Third Proportional to 580,803.75 and 852,157.13

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Solution

The third proportional to 580,803.75 and 852,157.13 is: 1,250,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,803.75 : 852,157.13 = 852,157.13 : x
  2. Step 2: Convert to fraction form
    580,803.75/852,157.13 = 852,157.13/x
  3. Step 3: Cross multiply
    580,803.75x = 852,157.13 × 852,157.13
  4. Step 4: Simplify right side
    580,803.75x = 726,171,765,688.27
  5. Step 5: Solve for x
    x = 726,171,765,688.27/580,803.75
  6. Step 6: Final answer
    x = 1,250,287.67

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Why These Related Problems?

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