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Finding the Third Proportional to 504,815,356 and 775,458,204

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Solution

The third proportional to 504,815,356 and 775,458,204 is: 1,191,198,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,815,356 : 775,458,204 = 775,458,204 : x
  2. Step 2: Convert to fraction form
    504,815,356/775,458,204 = 775,458,204/x
  3. Step 3: Cross multiply
    504,815,356x = 775,458,204 × 775,458,204
  4. Step 4: Simplify right side
    504,815,356x = 601,335,426,150,905,600
  5. Step 5: Solve for x
    x = 601,335,426,150,905,600/504,815,356
  6. Step 6: Final answer
    x = 1,191,198,760.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.