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Finding the Third Proportional to 239,571 and 375,813

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Solution

The third proportional to 239,571 and 375,813 is: 589,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,571 : 375,813 = 375,813 : x
  2. Step 2: Convert to fraction form
    239,571/375,813 = 375,813/x
  3. Step 3: Cross multiply
    239,571x = 375,813 × 375,813
  4. Step 4: Simplify right side
    239,571x = 141,235,410,969
  5. Step 5: Solve for x
    x = 141,235,410,969/239,571
  6. Step 6: Final answer
    x = 589,534.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.