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Finding the Third Proportional to 256,723.25 and 572,475

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Solution

The third proportional to 256,723.25 and 572,475 is: 1,276,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,723.25 : 572,475 = 572,475 : x
  2. Step 2: Convert to fraction form
    256,723.25/572,475 = 572,475/x
  3. Step 3: Cross multiply
    256,723.25x = 572,475 × 572,475
  4. Step 4: Simplify right side
    256,723.25x = 327,727,625,625
  5. Step 5: Solve for x
    x = 327,727,625,625/256,723.25
  6. Step 6: Final answer
    x = 1,276,579.45

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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.