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Finding the Third Proportional to 256,440.94 and 556,348.50

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Solution

The third proportional to 256,440.94 and 556,348.50 is: 1,206,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,440.94 : 556,348.50 = 556,348.50 : x
  2. Step 2: Convert to fraction form
    256,440.94/556,348.50 = 556,348.50/x
  3. Step 3: Cross multiply
    256,440.94x = 556,348.50 × 556,348.50
  4. Step 4: Simplify right side
    256,440.94x = 309,523,653,452.25
  5. Step 5: Solve for x
    x = 309,523,653,452.25/256,440.94
  6. Step 6: Final answer
    x = 1,206,997.82

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