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Finding the Third Proportional to 349,920 and 733,104

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Solution

The third proportional to 349,920 and 733,104 is: 1,535,898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,920 : 733,104 = 733,104 : x
  2. Step 2: Convert to fraction form
    349,920/733,104 = 733,104/x
  3. Step 3: Cross multiply
    349,920x = 733,104 × 733,104
  4. Step 4: Simplify right side
    349,920x = 537,441,474,816
  5. Step 5: Solve for x
    x = 537,441,474,816/349,920
  6. Step 6: Final answer
    x = 1,535,898.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.