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Finding the Third Proportional to 259,402 and 568,011

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Solution

The third proportional to 259,402 and 568,011 is: 1,243,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,402 : 568,011 = 568,011 : x
  2. Step 2: Convert to fraction form
    259,402/568,011 = 568,011/x
  3. Step 3: Cross multiply
    259,402x = 568,011 × 568,011
  4. Step 4: Simplify right side
    259,402x = 322,636,496,121
  5. Step 5: Solve for x
    x = 322,636,496,121/259,402
  6. Step 6: Final answer
    x = 1,243,770.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.