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Finding the Third Proportional to 256,551.75 and 593,852.25

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Solution

The third proportional to 256,551.75 and 593,852.25 is: 1,374,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,551.75 : 593,852.25 = 593,852.25 : x
  2. Step 2: Convert to fraction form
    256,551.75/593,852.25 = 593,852.25/x
  3. Step 3: Cross multiply
    256,551.75x = 593,852.25 × 593,852.25
  4. Step 4: Simplify right side
    256,551.75x = 352,660,494,830.06
  5. Step 5: Solve for x
    x = 352,660,494,830.06/256,551.75
  6. Step 6: Final answer
    x = 1,374,617.38

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.