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Finding the Third Proportional to 352,701 and 504,164

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Solution

The third proportional to 352,701 and 504,164 is: 720,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,701 : 504,164 = 504,164 : x
  2. Step 2: Convert to fraction form
    352,701/504,164 = 504,164/x
  3. Step 3: Cross multiply
    352,701x = 504,164 × 504,164
  4. Step 4: Simplify right side
    352,701x = 254,181,338,896
  5. Step 5: Solve for x
    x = 254,181,338,896/352,701
  6. Step 6: Final answer
    x = 720,670.88

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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.