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Finding the Third Proportional to 263,712 and 565,561

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Solution

The third proportional to 263,712 and 565,561 is: 1,212,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,712 : 565,561 = 565,561 : x
  2. Step 2: Convert to fraction form
    263,712/565,561 = 565,561/x
  3. Step 3: Cross multiply
    263,712x = 565,561 × 565,561
  4. Step 4: Simplify right side
    263,712x = 319,859,244,721
  5. Step 5: Solve for x
    x = 319,859,244,721/263,712
  6. Step 6: Final answer
    x = 1,212,911.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.