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Finding the Third Proportional to 383,917 and 837,710

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Solution

The third proportional to 383,917 and 837,710 is: 1,827,890.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,917 : 837,710 = 837,710 : x
  2. Step 2: Convert to fraction form
    383,917/837,710 = 837,710/x
  3. Step 3: Cross multiply
    383,917x = 837,710 × 837,710
  4. Step 4: Simplify right side
    383,917x = 701,758,044,100
  5. Step 5: Solve for x
    x = 701,758,044,100/383,917
  6. Step 6: Final answer
    x = 1,827,890.00

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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.