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Finding the Third Proportional to 303,493.50 and 651,267

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Solution

The third proportional to 303,493.50 and 651,267 is: 1,397,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,493.50 : 651,267 = 651,267 : x
  2. Step 2: Convert to fraction form
    303,493.50/651,267 = 651,267/x
  3. Step 3: Cross multiply
    303,493.50x = 651,267 × 651,267
  4. Step 4: Simplify right side
    303,493.50x = 424,148,705,289
  5. Step 5: Solve for x
    x = 424,148,705,289/303,493.50
  6. Step 6: Final answer
    x = 1,397,554.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.