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Finding the Third Proportional to 256,716.84 and 572,462.44

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Solution

The third proportional to 256,716.84 and 572,462.44 is: 1,276,555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,716.84 : 572,462.44 = 572,462.44 : x
  2. Step 2: Convert to fraction form
    256,716.84/572,462.44 = 572,462.44/x
  3. Step 3: Cross multiply
    256,716.84x = 572,462.44 × 572,462.44
  4. Step 4: Simplify right side
    256,716.84x = 327,713,242,348.44
  5. Step 5: Solve for x
    x = 327,713,242,348.44/256,716.84
  6. Step 6: Final answer
    x = 1,276,555.28

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