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Finding the Third Proportional to 312,234.75 and 446,168.25

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Solution

The third proportional to 312,234.75 and 446,168.25 is: 637,552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,234.75 : 446,168.25 = 446,168.25 : x
  2. Step 2: Convert to fraction form
    312,234.75/446,168.25 = 446,168.25/x
  3. Step 3: Cross multiply
    312,234.75x = 446,168.25 × 446,168.25
  4. Step 4: Simplify right side
    312,234.75x = 199,066,107,308.06
  5. Step 5: Solve for x
    x = 199,066,107,308.06/312,234.75
  6. Step 6: Final answer
    x = 637,552.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.