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Finding the Third Proportional to 256,529.25 and 562,311

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Solution

The third proportional to 256,529.25 and 562,311 is: 1,232,583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,529.25 : 562,311 = 562,311 : x
  2. Step 2: Convert to fraction form
    256,529.25/562,311 = 562,311/x
  3. Step 3: Cross multiply
    256,529.25x = 562,311 × 562,311
  4. Step 4: Simplify right side
    256,529.25x = 316,193,660,721
  5. Step 5: Solve for x
    x = 316,193,660,721/256,529.25
  6. Step 6: Final answer
    x = 1,232,583.27

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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.