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Finding the Third Proportional to 234,729.56 and 489,314.25

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Solution

The third proportional to 234,729.56 and 489,314.25 is: 1,020,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,729.56 : 489,314.25 = 489,314.25 : x
  2. Step 2: Convert to fraction form
    234,729.56/489,314.25 = 489,314.25/x
  3. Step 3: Cross multiply
    234,729.56x = 489,314.25 × 489,314.25
  4. Step 4: Simplify right side
    234,729.56x = 239,428,435,253.06
  5. Step 5: Solve for x
    x = 239,428,435,253.06/234,729.56
  6. Step 6: Final answer
    x = 1,020,018.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.