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Finding the Third Proportional to 256,406,404 and 604,672,138

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Solution

The third proportional to 256,406,404 and 604,672,138 is: 1,425,972,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,406,404 : 604,672,138 = 604,672,138 : x
  2. Step 2: Convert to fraction form
    256,406,404/604,672,138 = 604,672,138/x
  3. Step 3: Cross multiply
    256,406,404x = 604,672,138 × 604,672,138
  4. Step 4: Simplify right side
    256,406,404x = 365,628,394,473,491,072
  5. Step 5: Solve for x
    x = 365,628,394,473,491,072/256,406,404
  6. Step 6: Final answer
    x = 1,425,972,162.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.