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Finding the Third Proportional to 336,802 and 723,176

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Solution

The third proportional to 336,802 and 723,176 is: 1,552,792.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,802 : 723,176 = 723,176 : x
  2. Step 2: Convert to fraction form
    336,802/723,176 = 723,176/x
  3. Step 3: Cross multiply
    336,802x = 723,176 × 723,176
  4. Step 4: Simplify right side
    336,802x = 522,983,526,976
  5. Step 5: Solve for x
    x = 522,983,526,976/336,802
  6. Step 6: Final answer
    x = 1,552,792.23

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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.