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Finding the Third Proportional to 595,831 and 765,032

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Solution

The third proportional to 595,831 and 765,032 is: 982,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,831 : 765,032 = 765,032 : x
  2. Step 2: Convert to fraction form
    595,831/765,032 = 765,032/x
  3. Step 3: Cross multiply
    595,831x = 765,032 × 765,032
  4. Step 4: Simplify right side
    595,831x = 585,273,961,024
  5. Step 5: Solve for x
    x = 585,273,961,024/595,831
  6. Step 6: Final answer
    x = 982,281.82

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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.