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Finding the Third Proportional to 263,962,806.75 and 399,341,616.75

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Solution

The third proportional to 263,962,806.75 and 399,341,616.75 is: 604,152,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,962,806.75 : 399,341,616.75 = 399,341,616.75 : x
  2. Step 2: Convert to fraction form
    263,962,806.75/399,341,616.75 = 399,341,616.75/x
  3. Step 3: Cross multiply
    263,962,806.75x = 399,341,616.75 × 399,341,616.75
  4. Step 4: Simplify right side
    263,962,806.75x = 159,473,726,868,503,872
  5. Step 5: Solve for x
    x = 159,473,726,868,503,872/263,962,806.75
  6. Step 6: Final answer
    x = 604,152,262.33

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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.