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Finding the Third Proportional to 504,815,357 and 775,458,197

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Solution

The third proportional to 504,815,357 and 775,458,197 is: 1,191,198,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,815,357 : 775,458,197 = 775,458,197 : x
  2. Step 2: Convert to fraction form
    504,815,357/775,458,197 = 775,458,197/x
  3. Step 3: Cross multiply
    504,815,357x = 775,458,197 × 775,458,197
  4. Step 4: Simplify right side
    504,815,357x = 601,335,415,294,490,752
  5. Step 5: Solve for x
    x = 601,335,415,294,490,752/504,815,357
  6. Step 6: Final answer
    x = 1,191,198,736.24

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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.