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Finding the Third Proportional to 256,732 and 565,951

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Solution

The third proportional to 256,732 and 565,951 is: 1,247,606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,732 : 565,951 = 565,951 : x
  2. Step 2: Convert to fraction form
    256,732/565,951 = 565,951/x
  3. Step 3: Cross multiply
    256,732x = 565,951 × 565,951
  4. Step 4: Simplify right side
    256,732x = 320,300,534,401
  5. Step 5: Solve for x
    x = 320,300,534,401/256,732
  6. Step 6: Final answer
    x = 1,247,606.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.