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Finding the Third Proportional to 595,917 and 765,126

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Solution

The third proportional to 595,917 and 765,126 is: 982,381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,917 : 765,126 = 765,126 : x
  2. Step 2: Convert to fraction form
    595,917/765,126 = 765,126/x
  3. Step 3: Cross multiply
    595,917x = 765,126 × 765,126
  4. Step 4: Simplify right side
    595,917x = 585,417,795,876
  5. Step 5: Solve for x
    x = 585,417,795,876/595,917
  6. Step 6: Final answer
    x = 982,381.43

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.