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Finding the Third Proportional to 354,850.88 and 510,077.25

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Solution

The third proportional to 354,850.88 and 510,077.25 is: 733,206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,850.88 : 510,077.25 = 510,077.25 : x
  2. Step 2: Convert to fraction form
    354,850.88/510,077.25 = 510,077.25/x
  3. Step 3: Cross multiply
    354,850.88x = 510,077.25 × 510,077.25
  4. Step 4: Simplify right side
    354,850.88x = 260,178,800,967.56
  5. Step 5: Solve for x
    x = 260,178,800,967.56/354,850.88
  6. Step 6: Final answer
    x = 733,206.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.