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Finding the Third Proportional to 336,128 and 723,230

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Solution

The third proportional to 336,128 and 723,230 is: 1,556,138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,128 : 723,230 = 723,230 : x
  2. Step 2: Convert to fraction form
    336,128/723,230 = 723,230/x
  3. Step 3: Cross multiply
    336,128x = 723,230 × 723,230
  4. Step 4: Simplify right side
    336,128x = 523,061,632,900
  5. Step 5: Solve for x
    x = 523,061,632,900/336,128
  6. Step 6: Final answer
    x = 1,556,138.24

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