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Finding the Third Proportional to 260,362 and 527,965

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Solution

The third proportional to 260,362 and 527,965 is: 1,070,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,362 : 527,965 = 527,965 : x
  2. Step 2: Convert to fraction form
    260,362/527,965 = 527,965/x
  3. Step 3: Cross multiply
    260,362x = 527,965 × 527,965
  4. Step 4: Simplify right side
    260,362x = 278,747,041,225
  5. Step 5: Solve for x
    x = 278,747,041,225/260,362
  6. Step 6: Final answer
    x = 1,070,613.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.