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Finding the Third Proportional to 435,415.50 and 659,684.25

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Solution

The third proportional to 435,415.50 and 659,684.25 is: 999,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,415.50 : 659,684.25 = 659,684.25 : x
  2. Step 2: Convert to fraction form
    435,415.50/659,684.25 = 659,684.25/x
  3. Step 3: Cross multiply
    435,415.50x = 659,684.25 × 659,684.25
  4. Step 4: Simplify right side
    435,415.50x = 435,183,309,698.06
  5. Step 5: Solve for x
    x = 435,183,309,698.06/435,415.50
  6. Step 6: Final answer
    x = 999,466.74

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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.