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Finding the Third Proportional to 411,771,682.50 and 627,306,092.25

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Solution

The third proportional to 411,771,682.50 and 627,306,092.25 is: 955,658,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,771,682.50 : 627,306,092.25 = 627,306,092.25 : x
  2. Step 2: Convert to fraction form
    411,771,682.50/627,306,092.25 = 627,306,092.25/x
  3. Step 3: Cross multiply
    411,771,682.50x = 627,306,092.25 × 627,306,092.25
  4. Step 4: Simplify right side
    411,771,682.50x = 393,512,933,373,965,504
  5. Step 5: Solve for x
    x = 393,512,933,373,965,504/411,771,682.50
  6. Step 6: Final answer
    x = 955,658,074.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.