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Finding the Third Proportional to 256,266 and 561,894

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Solution

The third proportional to 256,266 and 561,894 is: 1,232,020.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,266 : 561,894 = 561,894 : x
  2. Step 2: Convert to fraction form
    256,266/561,894 = 561,894/x
  3. Step 3: Cross multiply
    256,266x = 561,894 × 561,894
  4. Step 4: Simplify right side
    256,266x = 315,724,867,236
  5. Step 5: Solve for x
    x = 315,724,867,236/256,266
  6. Step 6: Final answer
    x = 1,232,020.12

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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.