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Finding the Third Proportional to 369,211.50 and 806,760

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Solution

The third proportional to 369,211.50 and 806,760 is: 1,762,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,211.50 : 806,760 = 806,760 : x
  2. Step 2: Convert to fraction form
    369,211.50/806,760 = 806,760/x
  3. Step 3: Cross multiply
    369,211.50x = 806,760 × 806,760
  4. Step 4: Simplify right side
    369,211.50x = 650,861,697,600
  5. Step 5: Solve for x
    x = 650,861,697,600/369,211.50
  6. Step 6: Final answer
    x = 1,762,842.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.