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Finding the Third Proportional to 256,552 and 593,852

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Solution

The third proportional to 256,552 and 593,852 is: 1,374,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,552 : 593,852 = 593,852 : x
  2. Step 2: Convert to fraction form
    256,552/593,852 = 593,852/x
  3. Step 3: Cross multiply
    256,552x = 593,852 × 593,852
  4. Step 4: Simplify right side
    256,552x = 352,660,197,904
  5. Step 5: Solve for x
    x = 352,660,197,904/256,552
  6. Step 6: Final answer
    x = 1,374,614.88

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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.