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Finding the Third Proportional to 320,989 and 496,758

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Solution

The third proportional to 320,989 and 496,758 is: 768,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,989 : 496,758 = 496,758 : x
  2. Step 2: Convert to fraction form
    320,989/496,758 = 496,758/x
  3. Step 3: Cross multiply
    320,989x = 496,758 × 496,758
  4. Step 4: Simplify right side
    320,989x = 246,768,510,564
  5. Step 5: Solve for x
    x = 246,768,510,564/320,989
  6. Step 6: Final answer
    x = 768,775.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.