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Finding the Third Proportional to 256,494 and 556,458

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Solution

The third proportional to 256,494 and 556,458 is: 1,207,223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,494 : 556,458 = 556,458 : x
  2. Step 2: Convert to fraction form
    256,494/556,458 = 556,458/x
  3. Step 3: Cross multiply
    256,494x = 556,458 × 556,458
  4. Step 4: Simplify right side
    256,494x = 309,645,505,764
  5. Step 5: Solve for x
    x = 309,645,505,764/256,494
  6. Step 6: Final answer
    x = 1,207,223.19

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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.