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Finding the Third Proportional to 364,995 and 488,234.25

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Solution

The third proportional to 364,995 and 488,234.25 is: 653,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,995 : 488,234.25 = 488,234.25 : x
  2. Step 2: Convert to fraction form
    364,995/488,234.25 = 488,234.25/x
  3. Step 3: Cross multiply
    364,995x = 488,234.25 × 488,234.25
  4. Step 4: Simplify right side
    364,995x = 238,372,682,873.06
  5. Step 5: Solve for x
    x = 238,372,682,873.06/364,995
  6. Step 6: Final answer
    x = 653,084.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.