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Finding the Third Proportional to 342,481.50 and 537,232.50

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Solution

The third proportional to 342,481.50 and 537,232.50 is: 842,728.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,481.50 : 537,232.50 = 537,232.50 : x
  2. Step 2: Convert to fraction form
    342,481.50/537,232.50 = 537,232.50/x
  3. Step 3: Cross multiply
    342,481.50x = 537,232.50 × 537,232.50
  4. Step 4: Simplify right side
    342,481.50x = 288,618,759,056.25
  5. Step 5: Solve for x
    x = 288,618,759,056.25/342,481.50
  6. Step 6: Final answer
    x = 842,728.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.