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Finding the Third Proportional to 256,438 and 593,609

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Solution

The third proportional to 256,438 and 593,609 is: 1,374,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,438 : 593,609 = 593,609 : x
  2. Step 2: Convert to fraction form
    256,438/593,609 = 593,609/x
  3. Step 3: Cross multiply
    256,438x = 593,609 × 593,609
  4. Step 4: Simplify right side
    256,438x = 352,371,644,881
  5. Step 5: Solve for x
    x = 352,371,644,881/256,438
  6. Step 6: Final answer
    x = 1,374,100.74

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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.