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Finding the Third Proportional to 225,918 and 489,029.63

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Solution

The third proportional to 225,918 and 489,029.63 is: 1,058,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,918 : 489,029.63 = 489,029.63 : x
  2. Step 2: Convert to fraction form
    225,918/489,029.63 = 489,029.63/x
  3. Step 3: Cross multiply
    225,918x = 489,029.63 × 489,029.63
  4. Step 4: Simplify right side
    225,918x = 239,149,974,127.64
  5. Step 5: Solve for x
    x = 239,149,974,127.64/225,918
  6. Step 6: Final answer
    x = 1,058,569.81

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