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Finding the Third Proportional to 239,440 and 523,754

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Solution

The third proportional to 239,440 and 523,754 is: 1,145,665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,440 : 523,754 = 523,754 : x
  2. Step 2: Convert to fraction form
    239,440/523,754 = 523,754/x
  3. Step 3: Cross multiply
    239,440x = 523,754 × 523,754
  4. Step 4: Simplify right side
    239,440x = 274,318,252,516
  5. Step 5: Solve for x
    x = 274,318,252,516/239,440
  6. Step 6: Final answer
    x = 1,145,665.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.