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Finding the Third Proportional to 263,963,403 and 399,342,496.50

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Solution

The third proportional to 263,963,403 and 399,342,496.50 is: 604,153,559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,963,403 : 399,342,496.50 = 399,342,496.50 : x
  2. Step 2: Convert to fraction form
    263,963,403/399,342,496.50 = 399,342,496.50/x
  3. Step 3: Cross multiply
    263,963,403x = 399,342,496.50 × 399,342,496.50
  4. Step 4: Simplify right side
    263,963,403x = 159,474,429,510,852,512
  5. Step 5: Solve for x
    x = 159,474,429,510,852,512/263,963,403
  6. Step 6: Final answer
    x = 604,153,559.54

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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.