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Finding the Third Proportional to 342,877,936 and 517,505,560

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Solution

The third proportional to 342,877,936 and 517,505,560 is: 781,070,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,877,936 : 517,505,560 = 517,505,560 : x
  2. Step 2: Convert to fraction form
    342,877,936/517,505,560 = 517,505,560/x
  3. Step 3: Cross multiply
    342,877,936x = 517,505,560 × 517,505,560
  4. Step 4: Simplify right side
    342,877,936x = 267,812,004,630,913,600
  5. Step 5: Solve for x
    x = 267,812,004,630,913,600/342,877,936
  6. Step 6: Final answer
    x = 781,070,977.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.