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Finding the Third Proportional to 435,351.75 and 659,596.88

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Solution

The third proportional to 435,351.75 and 659,596.88 is: 999,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,351.75 : 659,596.88 = 659,596.88 : x
  2. Step 2: Convert to fraction form
    435,351.75/659,596.88 = 659,596.88/x
  3. Step 3: Cross multiply
    435,351.75x = 659,596.88 × 659,596.88
  4. Step 4: Simplify right side
    435,351.75x = 435,068,037,509.77
  5. Step 5: Solve for x
    x = 435,068,037,509.77/435,351.75
  6. Step 6: Final answer
    x = 999,348.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.