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Finding the Third Proportional to 256,949 and 553,267

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Solution

The third proportional to 256,949 and 553,267 is: 1,191,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,949 : 553,267 = 553,267 : x
  2. Step 2: Convert to fraction form
    256,949/553,267 = 553,267/x
  3. Step 3: Cross multiply
    256,949x = 553,267 × 553,267
  4. Step 4: Simplify right side
    256,949x = 306,104,373,289
  5. Step 5: Solve for x
    x = 306,104,373,289/256,949
  6. Step 6: Final answer
    x = 1,191,304.01

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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.