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Finding the Third Proportional to 352,954.50 and 540,021

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Solution

The third proportional to 352,954.50 and 540,021 is: 826,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,954.50 : 540,021 = 540,021 : x
  2. Step 2: Convert to fraction form
    352,954.50/540,021 = 540,021/x
  3. Step 3: Cross multiply
    352,954.50x = 540,021 × 540,021
  4. Step 4: Simplify right side
    352,954.50x = 291,622,680,441
  5. Step 5: Solve for x
    x = 291,622,680,441/352,954.50
  6. Step 6: Final answer
    x = 826,233.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.