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Finding the Third Proportional to 259,412 and 568,030

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Solution

The third proportional to 259,412 and 568,030 is: 1,243,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,412 : 568,030 = 568,030 : x
  2. Step 2: Convert to fraction form
    259,412/568,030 = 568,030/x
  3. Step 3: Cross multiply
    259,412x = 568,030 × 568,030
  4. Step 4: Simplify right side
    259,412x = 322,658,080,900
  5. Step 5: Solve for x
    x = 322,658,080,900/259,412
  6. Step 6: Final answer
    x = 1,243,805.53

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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.