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Finding the Third Proportional to 244,416.75 and 357,874.75

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Solution

The third proportional to 244,416.75 and 357,874.75 is: 523,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,416.75 : 357,874.75 = 357,874.75 : x
  2. Step 2: Convert to fraction form
    244,416.75/357,874.75 = 357,874.75/x
  3. Step 3: Cross multiply
    244,416.75x = 357,874.75 × 357,874.75
  4. Step 4: Simplify right side
    244,416.75x = 128,074,336,687.56
  5. Step 5: Solve for x
    x = 128,074,336,687.56/244,416.75
  6. Step 6: Final answer
    x = 523,999.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.