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Finding the Third Proportional to 250,595,672 and 538,208,504

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Solution

The third proportional to 250,595,672 and 538,208,504 is: 1,155,919,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,595,672 : 538,208,504 = 538,208,504 : x
  2. Step 2: Convert to fraction form
    250,595,672/538,208,504 = 538,208,504/x
  3. Step 3: Cross multiply
    250,595,672x = 538,208,504 × 538,208,504
  4. Step 4: Simplify right side
    250,595,672x = 289,668,393,777,918,016
  5. Step 5: Solve for x
    x = 289,668,393,777,918,016/250,595,672
  6. Step 6: Final answer
    x = 1,155,919,379.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.