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Finding the Third Proportional to 256,440.63 and 552,319

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Solution

The third proportional to 256,440.63 and 552,319 is: 1,189,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,440.63 : 552,319 = 552,319 : x
  2. Step 2: Convert to fraction form
    256,440.63/552,319 = 552,319/x
  3. Step 3: Cross multiply
    256,440.63x = 552,319 × 552,319
  4. Step 4: Simplify right side
    256,440.63x = 305,056,277,761
  5. Step 5: Solve for x
    x = 305,056,277,761/256,440.63
  6. Step 6: Final answer
    x = 1,189,578.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.