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Finding the Third Proportional to 335,436 and 723,384

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Solution

The third proportional to 335,436 and 723,384 is: 1,560,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,436 : 723,384 = 723,384 : x
  2. Step 2: Convert to fraction form
    335,436/723,384 = 723,384/x
  3. Step 3: Cross multiply
    335,436x = 723,384 × 723,384
  4. Step 4: Simplify right side
    335,436x = 523,284,411,456
  5. Step 5: Solve for x
    x = 523,284,411,456/335,436
  6. Step 6: Final answer
    x = 1,560,012.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.