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Finding the Third Proportional to 264,484 and 568,738

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Solution

The third proportional to 264,484 and 568,738 is: 1,222,996.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,484 : 568,738 = 568,738 : x
  2. Step 2: Convert to fraction form
    264,484/568,738 = 568,738/x
  3. Step 3: Cross multiply
    264,484x = 568,738 × 568,738
  4. Step 4: Simplify right side
    264,484x = 323,462,912,644
  5. Step 5: Solve for x
    x = 323,462,912,644/264,484
  6. Step 6: Final answer
    x = 1,222,996.15

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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.