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Finding the Third Proportional to 277,450,171 and 577,853,636

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Solution

The third proportional to 277,450,171 and 577,853,636 is: 1,203,512,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,450,171 : 577,853,636 = 577,853,636 : x
  2. Step 2: Convert to fraction form
    277,450,171/577,853,636 = 577,853,636/x
  3. Step 3: Cross multiply
    277,450,171x = 577,853,636 × 577,853,636
  4. Step 4: Simplify right side
    277,450,171x = 333,914,824,638,420,480
  5. Step 5: Solve for x
    x = 333,914,824,638,420,480/277,450,171
  6. Step 6: Final answer
    x = 1,203,512,772.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.