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Finding the Third Proportional to 269,898 and 577,170

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Solution

The third proportional to 269,898 and 577,170 is: 1,234,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,898 : 577,170 = 577,170 : x
  2. Step 2: Convert to fraction form
    269,898/577,170 = 577,170/x
  3. Step 3: Cross multiply
    269,898x = 577,170 × 577,170
  4. Step 4: Simplify right side
    269,898x = 333,125,208,900
  5. Step 5: Solve for x
    x = 333,125,208,900/269,898
  6. Step 6: Final answer
    x = 1,234,263.35

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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.