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Finding the Third Proportional to 373,469.06 and 564,650.44

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Solution

The third proportional to 373,469.06 and 564,650.44 is: 853,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,469.06 : 564,650.44 = 564,650.44 : x
  2. Step 2: Convert to fraction form
    373,469.06/564,650.44 = 564,650.44/x
  3. Step 3: Cross multiply
    373,469.06x = 564,650.44 × 564,650.44
  4. Step 4: Simplify right side
    373,469.06x = 318,830,116,568.94
  5. Step 5: Solve for x
    x = 318,830,116,568.94/373,469.06
  6. Step 6: Final answer
    x = 853,698.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.