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Finding the Third Proportional to 349,928 and 733,120

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Solution

The third proportional to 349,928 and 733,120 is: 1,535,930.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,928 : 733,120 = 733,120 : x
  2. Step 2: Convert to fraction form
    349,928/733,120 = 733,120/x
  3. Step 3: Cross multiply
    349,928x = 733,120 × 733,120
  4. Step 4: Simplify right side
    349,928x = 537,464,934,400
  5. Step 5: Solve for x
    x = 537,464,934,400/349,928
  6. Step 6: Final answer
    x = 1,535,930.06

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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.