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Finding the Third Proportional to 256,543 and 593,868

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Solution

The third proportional to 256,543 and 593,868 is: 1,374,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,543 : 593,868 = 593,868 : x
  2. Step 2: Convert to fraction form
    256,543/593,868 = 593,868/x
  3. Step 3: Cross multiply
    256,543x = 593,868 × 593,868
  4. Step 4: Simplify right side
    256,543x = 352,679,201,424
  5. Step 5: Solve for x
    x = 352,679,201,424/256,543
  6. Step 6: Final answer
    x = 1,374,737.18

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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.