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Finding the Third Proportional to 504,815,356 and 775,458,196

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Solution

The third proportional to 504,815,356 and 775,458,196 is: 1,191,198,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,815,356 : 775,458,196 = 775,458,196 : x
  2. Step 2: Convert to fraction form
    504,815,356/775,458,196 = 775,458,196/x
  3. Step 3: Cross multiply
    504,815,356x = 775,458,196 × 775,458,196
  4. Step 4: Simplify right side
    504,815,356x = 601,335,413,743,574,400
  5. Step 5: Solve for x
    x = 601,335,413,743,574,400/504,815,356
  6. Step 6: Final answer
    x = 1,191,198,735.53

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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.