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Finding the Third Proportional to 271,495,398 and 575,567,781

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Solution

The third proportional to 271,495,398 and 575,567,781 is: 1,220,198,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,495,398 : 575,567,781 = 575,567,781 : x
  2. Step 2: Convert to fraction form
    271,495,398/575,567,781 = 575,567,781/x
  3. Step 3: Cross multiply
    271,495,398x = 575,567,781 × 575,567,781
  4. Step 4: Simplify right side
    271,495,398x = 331,278,270,525,263,936
  5. Step 5: Solve for x
    x = 331,278,270,525,263,936/271,495,398
  6. Step 6: Final answer
    x = 1,220,198,474.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.