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Finding the Third Proportional to 352,419.75 and 533,549.25

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Solution

The third proportional to 352,419.75 and 533,549.25 is: 807,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,419.75 : 533,549.25 = 533,549.25 : x
  2. Step 2: Convert to fraction form
    352,419.75/533,549.25 = 533,549.25/x
  3. Step 3: Cross multiply
    352,419.75x = 533,549.25 × 533,549.25
  4. Step 4: Simplify right side
    352,419.75x = 284,674,802,175.56
  5. Step 5: Solve for x
    x = 284,674,802,175.56/352,419.75
  6. Step 6: Final answer
    x = 807,771.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.