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Finding the Third Proportional to 271,495,400 and 575,567,784

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Solution

The third proportional to 271,495,400 and 575,567,784 is: 1,220,198,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,495,400 : 575,567,784 = 575,567,784 : x
  2. Step 2: Convert to fraction form
    271,495,400/575,567,784 = 575,567,784/x
  3. Step 3: Cross multiply
    271,495,400x = 575,567,784 × 575,567,784
  4. Step 4: Simplify right side
    271,495,400x = 331,278,273,978,670,656
  5. Step 5: Solve for x
    x = 331,278,273,978,670,656/271,495,400
  6. Step 6: Final answer
    x = 1,220,198,478.42

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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.