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Finding the Third Proportional to 357,293,517 and 773,944,462

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Solution

The third proportional to 357,293,517 and 773,944,462 is: 1,676,464,872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,293,517 : 773,944,462 = 773,944,462 : x
  2. Step 2: Convert to fraction form
    357,293,517/773,944,462 = 773,944,462/x
  3. Step 3: Cross multiply
    357,293,517x = 773,944,462 × 773,944,462
  4. Step 4: Simplify right side
    357,293,517x = 598,990,030,260,469,504
  5. Step 5: Solve for x
    x = 598,990,030,260,469,504/357,293,517
  6. Step 6: Final answer
    x = 1,676,464,872.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.