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Finding the Third Proportional to 352,696.50 and 504,157.50

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Solution

The third proportional to 352,696.50 and 504,157.50 is: 720,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,696.50 : 504,157.50 = 504,157.50 : x
  2. Step 2: Convert to fraction form
    352,696.50/504,157.50 = 504,157.50/x
  3. Step 3: Cross multiply
    352,696.50x = 504,157.50 × 504,157.50
  4. Step 4: Simplify right side
    352,696.50x = 254,174,784,806.25
  5. Step 5: Solve for x
    x = 254,174,784,806.25/352,696.50
  6. Step 6: Final answer
    x = 720,661.49

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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.