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Finding the Third Proportional to 256,014 and 558,612

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Solution

The third proportional to 256,014 and 558,612 is: 1,218,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,014 : 558,612 = 558,612 : x
  2. Step 2: Convert to fraction form
    256,014/558,612 = 558,612/x
  3. Step 3: Cross multiply
    256,014x = 558,612 × 558,612
  4. Step 4: Simplify right side
    256,014x = 312,047,366,544
  5. Step 5: Solve for x
    x = 312,047,366,544/256,014
  6. Step 6: Final answer
    x = 1,218,868.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.