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Finding the Third Proportional to 256,692 and 556,152

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Solution

The third proportional to 256,692 and 556,152 is: 1,204,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,692 : 556,152 = 556,152 : x
  2. Step 2: Convert to fraction form
    256,692/556,152 = 556,152/x
  3. Step 3: Cross multiply
    256,692x = 556,152 × 556,152
  4. Step 4: Simplify right side
    256,692x = 309,305,047,104
  5. Step 5: Solve for x
    x = 309,305,047,104/256,692
  6. Step 6: Final answer
    x = 1,204,965.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.