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Finding the Third Proportional to 256,430 and 558,013

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Solution

The third proportional to 256,430 and 558,013 is: 1,214,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,430 : 558,013 = 558,013 : x
  2. Step 2: Convert to fraction form
    256,430/558,013 = 558,013/x
  3. Step 3: Cross multiply
    256,430x = 558,013 × 558,013
  4. Step 4: Simplify right side
    256,430x = 311,378,508,169
  5. Step 5: Solve for x
    x = 311,378,508,169/256,430
  6. Step 6: Final answer
    x = 1,214,282.68

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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.