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Finding the Third Proportional to 256,531.50 and 593,845.50

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Solution

The third proportional to 256,531.50 and 593,845.50 is: 1,374,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,531.50 : 593,845.50 = 593,845.50 : x
  2. Step 2: Convert to fraction form
    256,531.50/593,845.50 = 593,845.50/x
  3. Step 3: Cross multiply
    256,531.50x = 593,845.50 × 593,845.50
  4. Step 4: Simplify right side
    256,531.50x = 352,652,477,870.25
  5. Step 5: Solve for x
    x = 352,652,477,870.25/256,531.50
  6. Step 6: Final answer
    x = 1,374,694.64

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Why These Related Problems?

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