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Finding the Third Proportional to 336,147 and 723,270

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Solution

The third proportional to 336,147 and 723,270 is: 1,556,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,147 : 723,270 = 723,270 : x
  2. Step 2: Convert to fraction form
    336,147/723,270 = 723,270/x
  3. Step 3: Cross multiply
    336,147x = 723,270 × 723,270
  4. Step 4: Simplify right side
    336,147x = 523,119,492,900
  5. Step 5: Solve for x
    x = 523,119,492,900/336,147
  6. Step 6: Final answer
    x = 1,556,222.41

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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.