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Finding the Third Proportional to 393,025.50 and 842,082

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Solution

The third proportional to 393,025.50 and 842,082 is: 1,804,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,025.50 : 842,082 = 842,082 : x
  2. Step 2: Convert to fraction form
    393,025.50/842,082 = 842,082/x
  3. Step 3: Cross multiply
    393,025.50x = 842,082 × 842,082
  4. Step 4: Simplify right side
    393,025.50x = 709,102,094,724
  5. Step 5: Solve for x
    x = 709,102,094,724/393,025.50
  6. Step 6: Final answer
    x = 1,804,213.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.