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Finding the Third Proportional to 260,032 and 559,520

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Solution

The third proportional to 260,032 and 559,520 is: 1,203,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,032 : 559,520 = 559,520 : x
  2. Step 2: Convert to fraction form
    260,032/559,520 = 559,520/x
  3. Step 3: Cross multiply
    260,032x = 559,520 × 559,520
  4. Step 4: Simplify right side
    260,032x = 313,062,630,400
  5. Step 5: Solve for x
    x = 313,062,630,400/260,032
  6. Step 6: Final answer
    x = 1,203,938.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.