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Finding the Third Proportional to 263,962,833 and 399,341,657

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Solution

The third proportional to 263,962,833 and 399,341,657 is: 604,152,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,962,833 : 399,341,657 = 399,341,657 : x
  2. Step 2: Convert to fraction form
    263,962,833/399,341,657 = 399,341,657/x
  3. Step 3: Cross multiply
    263,962,833x = 399,341,657 × 399,341,657
  4. Step 4: Simplify right side
    263,962,833x = 159,473,759,015,505,664
  5. Step 5: Solve for x
    x = 159,473,759,015,505,664/263,962,833
  6. Step 6: Final answer
    x = 604,152,324.03

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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.