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Finding the Third Proportional to 277,450,172 and 577,853,638

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Solution

The third proportional to 277,450,172 and 577,853,638 is: 1,203,512,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,450,172 : 577,853,638 = 577,853,638 : x
  2. Step 2: Convert to fraction form
    277,450,172/577,853,638 = 577,853,638/x
  3. Step 3: Cross multiply
    277,450,172x = 577,853,638 × 577,853,638
  4. Step 4: Simplify right side
    277,450,172x = 333,914,826,949,835,072
  5. Step 5: Solve for x
    x = 333,914,826,949,835,072/277,450,172
  6. Step 6: Final answer
    x = 1,203,512,776.88

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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.