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Finding the Third Proportional to 332,026 and 733,830

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Solution

The third proportional to 332,026 and 733,830 is: 1,621,880.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,026 : 733,830 = 733,830 : x
  2. Step 2: Convert to fraction form
    332,026/733,830 = 733,830/x
  3. Step 3: Cross multiply
    332,026x = 733,830 × 733,830
  4. Step 4: Simplify right side
    332,026x = 538,506,468,900
  5. Step 5: Solve for x
    x = 538,506,468,900/332,026
  6. Step 6: Final answer
    x = 1,621,880.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.