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Finding the Third Proportional to 352,701 and 504,164.25

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Solution

The third proportional to 352,701 and 504,164.25 is: 720,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,701 : 504,164.25 = 504,164.25 : x
  2. Step 2: Convert to fraction form
    352,701/504,164.25 = 504,164.25/x
  3. Step 3: Cross multiply
    352,701x = 504,164.25 × 504,164.25
  4. Step 4: Simplify right side
    352,701x = 254,181,590,978.06
  5. Step 5: Solve for x
    x = 254,181,590,978.06/352,701
  6. Step 6: Final answer
    x = 720,671.59

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