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Finding the Third Proportional to 504,815,358 and 775,458,199

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Solution

The third proportional to 504,815,358 and 775,458,199 is: 1,191,198,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,815,358 : 775,458,199 = 775,458,199 : x
  2. Step 2: Convert to fraction form
    504,815,358/775,458,199 = 775,458,199/x
  3. Step 3: Cross multiply
    504,815,358x = 775,458,199 × 775,458,199
  4. Step 4: Simplify right side
    504,815,358x = 601,335,418,396,323,584
  5. Step 5: Solve for x
    x = 601,335,418,396,323,584/504,815,358
  6. Step 6: Final answer
    x = 1,191,198,740.03

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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.