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Finding the Third Proportional to 283,958,628 and 436,195,224

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Solution

The third proportional to 283,958,628 and 436,195,224 is: 670,049,277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,958,628 : 436,195,224 = 436,195,224 : x
  2. Step 2: Convert to fraction form
    283,958,628/436,195,224 = 436,195,224/x
  3. Step 3: Cross multiply
    283,958,628x = 436,195,224 × 436,195,224
  4. Step 4: Simplify right side
    283,958,628x = 190,266,273,440,410,176
  5. Step 5: Solve for x
    x = 190,266,273,440,410,176/283,958,628
  6. Step 6: Final answer
    x = 670,049,277.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.