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Finding the Third Proportional to 336,125 and 723,226

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Solution

The third proportional to 336,125 and 723,226 is: 1,556,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,125 : 723,226 = 723,226 : x
  2. Step 2: Convert to fraction form
    336,125/723,226 = 723,226/x
  3. Step 3: Cross multiply
    336,125x = 723,226 × 723,226
  4. Step 4: Simplify right side
    336,125x = 523,055,847,076
  5. Step 5: Solve for x
    x = 523,055,847,076/336,125
  6. Step 6: Final answer
    x = 1,556,134.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.