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Finding the Third Proportional to 256,406,422 and 604,672,182

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Solution

The third proportional to 256,406,422 and 604,672,182 is: 1,425,972,270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,406,422 : 604,672,182 = 604,672,182 : x
  2. Step 2: Convert to fraction form
    256,406,422/604,672,182 = 604,672,182/x
  3. Step 3: Cross multiply
    256,406,422x = 604,672,182 × 604,672,182
  4. Step 4: Simplify right side
    256,406,422x = 365,628,447,684,641,152
  5. Step 5: Solve for x
    x = 365,628,447,684,641,152/256,406,422
  6. Step 6: Final answer
    x = 1,425,972,270.24

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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.