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Finding the Third Proportional to 277,450,170 and 577,853,634

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Solution

The third proportional to 277,450,170 and 577,853,634 is: 1,203,512,768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,450,170 : 577,853,634 = 577,853,634 : x
  2. Step 2: Convert to fraction form
    277,450,170/577,853,634 = 577,853,634/x
  3. Step 3: Cross multiply
    277,450,170x = 577,853,634 × 577,853,634
  4. Step 4: Simplify right side
    277,450,170x = 333,914,822,327,005,952
  5. Step 5: Solve for x
    x = 333,914,822,327,005,952/277,450,170
  6. Step 6: Final answer
    x = 1,203,512,768.89

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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.