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Finding the Third Proportional to 320,893 and 498,889

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Solution

The third proportional to 320,893 and 498,889 is: 775,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,893 : 498,889 = 498,889 : x
  2. Step 2: Convert to fraction form
    320,893/498,889 = 498,889/x
  3. Step 3: Cross multiply
    320,893x = 498,889 × 498,889
  4. Step 4: Simplify right side
    320,893x = 248,890,234,321
  5. Step 5: Solve for x
    x = 248,890,234,321/320,893
  6. Step 6: Final answer
    x = 775,617.52

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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.