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Finding the Third Proportional to 345,829.50 and 529,238.25

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Solution

The third proportional to 345,829.50 and 529,238.25 is: 809,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,829.50 : 529,238.25 = 529,238.25 : x
  2. Step 2: Convert to fraction form
    345,829.50/529,238.25 = 529,238.25/x
  3. Step 3: Cross multiply
    345,829.50x = 529,238.25 × 529,238.25
  4. Step 4: Simplify right side
    345,829.50x = 280,093,125,263.06
  5. Step 5: Solve for x
    x = 280,093,125,263.06/345,829.50
  6. Step 6: Final answer
    x = 809,916.81

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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.