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Finding the Third Proportional to 256,523 and 562,299.25

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Solution

The third proportional to 256,523 and 562,299.25 is: 1,232,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,523 : 562,299.25 = 562,299.25 : x
  2. Step 2: Convert to fraction form
    256,523/562,299.25 = 562,299.25/x
  3. Step 3: Cross multiply
    256,523x = 562,299.25 × 562,299.25
  4. Step 4: Simplify right side
    256,523x = 316,180,446,550.56
  5. Step 5: Solve for x
    x = 316,180,446,550.56/256,523
  6. Step 6: Final answer
    x = 1,232,561.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.