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Finding the Third Proportional to 269,289 and 573,570

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Solution

The third proportional to 269,289 and 573,570 is: 1,221,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,289 : 573,570 = 573,570 : x
  2. Step 2: Convert to fraction form
    269,289/573,570 = 573,570/x
  3. Step 3: Cross multiply
    269,289x = 573,570 × 573,570
  4. Step 4: Simplify right side
    269,289x = 328,982,544,900
  5. Step 5: Solve for x
    x = 328,982,544,900/269,289
  6. Step 6: Final answer
    x = 1,221,670.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.