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Finding the Third Proportional to 354,433.50 and 777,760.88

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Solution

The third proportional to 354,433.50 and 777,760.88 is: 1,706,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,433.50 : 777,760.88 = 777,760.88 : x
  2. Step 2: Convert to fraction form
    354,433.50/777,760.88 = 777,760.88/x
  3. Step 3: Cross multiply
    354,433.50x = 777,760.88 × 777,760.88
  4. Step 4: Simplify right side
    354,433.50x = 604,911,978,680.77
  5. Step 5: Solve for x
    x = 604,911,978,680.77/354,433.50
  6. Step 6: Final answer
    x = 1,706,700.91

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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.