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Finding the Third Proportional to 277,450,173 and 577,853,640

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Solution

The third proportional to 277,450,173 and 577,853,640 is: 1,203,512,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,450,173 : 577,853,640 = 577,853,640 : x
  2. Step 2: Convert to fraction form
    277,450,173/577,853,640 = 577,853,640/x
  3. Step 3: Cross multiply
    277,450,173x = 577,853,640 × 577,853,640
  4. Step 4: Simplify right side
    277,450,173x = 333,914,829,261,249,600
  5. Step 5: Solve for x
    x = 333,914,829,261,249,600/277,450,173
  6. Step 6: Final answer
    x = 1,203,512,780.87

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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.