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Finding the Third Proportional to 435,573 and 659,916

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Solution

The third proportional to 435,573 and 659,916 is: 999,807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,573 : 659,916 = 659,916 : x
  2. Step 2: Convert to fraction form
    435,573/659,916 = 659,916/x
  3. Step 3: Cross multiply
    435,573x = 659,916 × 659,916
  4. Step 4: Simplify right side
    435,573x = 435,489,127,056
  5. Step 5: Solve for x
    x = 435,489,127,056/435,573
  6. Step 6: Final answer
    x = 999,807.44

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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.