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Finding the Third Proportional to 504,815,359 and 775,458,200

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Solution

The third proportional to 504,815,359 and 775,458,200 is: 1,191,198,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,815,359 : 775,458,200 = 775,458,200 : x
  2. Step 2: Convert to fraction form
    504,815,359/775,458,200 = 775,458,200/x
  3. Step 3: Cross multiply
    504,815,359x = 775,458,200 × 775,458,200
  4. Step 4: Simplify right side
    504,815,359x = 601,335,419,947,239,936
  5. Step 5: Solve for x
    x = 601,335,419,947,239,936/504,815,359
  6. Step 6: Final answer
    x = 1,191,198,740.74

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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.