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Finding the Third Proportional to 263,962,832 and 399,341,656

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Solution

The third proportional to 263,962,832 and 399,341,656 is: 604,152,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,962,832 : 399,341,656 = 399,341,656 : x
  2. Step 2: Convert to fraction form
    263,962,832/399,341,656 = 399,341,656/x
  3. Step 3: Cross multiply
    263,962,832x = 399,341,656 × 399,341,656
  4. Step 4: Simplify right side
    263,962,832x = 159,473,758,216,822,336
  5. Step 5: Solve for x
    x = 159,473,758,216,822,336/263,962,832
  6. Step 6: Final answer
    x = 604,152,323.30

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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.