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Finding the Third Proportional to 282,828 and 609,933

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Solution

The third proportional to 282,828 and 609,933 is: 1,315,351.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,828 : 609,933 = 609,933 : x
  2. Step 2: Convert to fraction form
    282,828/609,933 = 609,933/x
  3. Step 3: Cross multiply
    282,828x = 609,933 × 609,933
  4. Step 4: Simplify right side
    282,828x = 372,018,264,489
  5. Step 5: Solve for x
    x = 372,018,264,489/282,828
  6. Step 6: Final answer
    x = 1,315,351.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.