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Finding the Third Proportional to 256,534.50 and 593,853

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Solution

The third proportional to 256,534.50 and 593,853 is: 1,374,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,534.50 : 593,853 = 593,853 : x
  2. Step 2: Convert to fraction form
    256,534.50/593,853 = 593,853/x
  3. Step 3: Cross multiply
    256,534.50x = 593,853 × 593,853
  4. Step 4: Simplify right side
    256,534.50x = 352,661,385,609
  5. Step 5: Solve for x
    x = 352,661,385,609/256,534.50
  6. Step 6: Final answer
    x = 1,374,713.29

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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.