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Finding the Third Proportional to 260,306 and 527,856

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Solution

The third proportional to 260,306 and 527,856 is: 1,070,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,306 : 527,856 = 527,856 : x
  2. Step 2: Convert to fraction form
    260,306/527,856 = 527,856/x
  3. Step 3: Cross multiply
    260,306x = 527,856 × 527,856
  4. Step 4: Simplify right side
    260,306x = 278,631,956,736
  5. Step 5: Solve for x
    x = 278,631,956,736/260,306
  6. Step 6: Final answer
    x = 1,070,401.59

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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.