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Finding the Third Proportional to 383,939.44 and 568,354.50

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Solution

The third proportional to 383,939.44 and 568,354.50 is: 841,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,939.44 : 568,354.50 = 568,354.50 : x
  2. Step 2: Convert to fraction form
    383,939.44/568,354.50 = 568,354.50/x
  3. Step 3: Cross multiply
    383,939.44x = 568,354.50 × 568,354.50
  4. Step 4: Simplify right side
    383,939.44x = 323,026,837,670.25
  5. Step 5: Solve for x
    x = 323,026,837,670.25/383,939.44
  6. Step 6: Final answer
    x = 841,348.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.