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Finding the Third Proportional to 256,444.50 and 593,625

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Solution

The third proportional to 256,444.50 and 593,625 is: 1,374,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,444.50 : 593,625 = 593,625 : x
  2. Step 2: Convert to fraction form
    256,444.50/593,625 = 593,625/x
  3. Step 3: Cross multiply
    256,444.50x = 593,625 × 593,625
  4. Step 4: Simplify right side
    256,444.50x = 352,390,640,625
  5. Step 5: Solve for x
    x = 352,390,640,625/256,444.50
  6. Step 6: Final answer
    x = 1,374,139.98

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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.