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Finding the Third Proportional to 352,024 and 504,448

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Solution

The third proportional to 352,024 and 504,448 is: 722,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,024 : 504,448 = 504,448 : x
  2. Step 2: Convert to fraction form
    352,024/504,448 = 504,448/x
  3. Step 3: Cross multiply
    352,024x = 504,448 × 504,448
  4. Step 4: Simplify right side
    352,024x = 254,467,784,704
  5. Step 5: Solve for x
    x = 254,467,784,704/352,024
  6. Step 6: Final answer
    x = 722,870.56

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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.