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Finding the Third Proportional to 256,750.88 and 521,277.75

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Solution

The third proportional to 256,750.88 and 521,277.75 is: 1,058,343.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,750.88 : 521,277.75 = 521,277.75 : x
  2. Step 2: Convert to fraction form
    256,750.88/521,277.75 = 521,277.75/x
  3. Step 3: Cross multiply
    256,750.88x = 521,277.75 × 521,277.75
  4. Step 4: Simplify right side
    256,750.88x = 271,730,492,645.06
  5. Step 5: Solve for x
    x = 271,730,492,645.06/256,750.88
  6. Step 6: Final answer
    x = 1,058,343.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.