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Finding the Third Proportional to 256,724 and 572,477

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Solution

The third proportional to 256,724 and 572,477 is: 1,276,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,724 : 572,477 = 572,477 : x
  2. Step 2: Convert to fraction form
    256,724/572,477 = 572,477/x
  3. Step 3: Cross multiply
    256,724x = 572,477 × 572,477
  4. Step 4: Simplify right side
    256,724x = 327,729,915,529
  5. Step 5: Solve for x
    x = 327,729,915,529/256,724
  6. Step 6: Final answer
    x = 1,276,584.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.