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Finding the Third Proportional to 256,591 and 562,754

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Solution

The third proportional to 256,591 and 562,754 is: 1,234,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,591 : 562,754 = 562,754 : x
  2. Step 2: Convert to fraction form
    256,591/562,754 = 562,754/x
  3. Step 3: Cross multiply
    256,591x = 562,754 × 562,754
  4. Step 4: Simplify right side
    256,591x = 316,692,064,516
  5. Step 5: Solve for x
    x = 316,692,064,516/256,591
  6. Step 6: Final answer
    x = 1,234,229.04

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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.