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Finding the Third Proportional to 652,999 and 989,375

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Solution

The third proportional to 652,999 and 989,375 is: 1,499,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,999 : 989,375 = 989,375 : x
  2. Step 2: Convert to fraction form
    652,999/989,375 = 989,375/x
  3. Step 3: Cross multiply
    652,999x = 989,375 × 989,375
  4. Step 4: Simplify right side
    652,999x = 978,862,890,625
  5. Step 5: Solve for x
    x = 978,862,890,625/652,999
  6. Step 6: Final answer
    x = 1,499,026.63

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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.