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Finding the Third Proportional to 334,393 and 723,325

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Solution

The third proportional to 334,393 and 723,325 is: 1,564,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,393 : 723,325 = 723,325 : x
  2. Step 2: Convert to fraction form
    334,393/723,325 = 723,325/x
  3. Step 3: Cross multiply
    334,393x = 723,325 × 723,325
  4. Step 4: Simplify right side
    334,393x = 523,199,055,625
  5. Step 5: Solve for x
    x = 523,199,055,625/334,393
  6. Step 6: Final answer
    x = 1,564,623.23

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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.