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Finding the Third Proportional to 256,441 and 593,613

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Solution

The third proportional to 256,441 and 593,613 is: 1,374,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,441 : 593,613 = 593,613 : x
  2. Step 2: Convert to fraction form
    256,441/593,613 = 593,613/x
  3. Step 3: Cross multiply
    256,441x = 593,613 × 593,613
  4. Step 4: Simplify right side
    256,441x = 352,376,393,769
  5. Step 5: Solve for x
    x = 352,376,393,769/256,441
  6. Step 6: Final answer
    x = 1,374,103.18

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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.