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Finding the Third Proportional to 383,724 and 837,324

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Solution

The third proportional to 383,724 and 837,324 is: 1,827,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,724 : 837,324 = 837,324 : x
  2. Step 2: Convert to fraction form
    383,724/837,324 = 837,324/x
  3. Step 3: Cross multiply
    383,724x = 837,324 × 837,324
  4. Step 4: Simplify right side
    383,724x = 701,111,480,976
  5. Step 5: Solve for x
    x = 701,111,480,976/383,724
  6. Step 6: Final answer
    x = 1,827,124.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.