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Finding the Third Proportional to 295,744,192 and 659,489,408

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Solution

The third proportional to 295,744,192 and 659,489,408 is: 1,470,616,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,744,192 : 659,489,408 = 659,489,408 : x
  2. Step 2: Convert to fraction form
    295,744,192/659,489,408 = 659,489,408/x
  3. Step 3: Cross multiply
    295,744,192x = 659,489,408 × 659,489,408
  4. Step 4: Simplify right side
    295,744,192x = 434,926,279,264,190,464
  5. Step 5: Solve for x
    x = 434,926,279,264,190,464/295,744,192
  6. Step 6: Final answer
    x = 1,470,616,468.65

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.