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Finding the Third Proportional to 263,962,829.25 and 399,341,653.88

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Solution

The third proportional to 263,962,829.25 and 399,341,653.88 is: 604,152,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,962,829.25 : 399,341,653.88 = 399,341,653.88 : x
  2. Step 2: Convert to fraction form
    263,962,829.25/399,341,653.88 = 399,341,653.88/x
  3. Step 3: Cross multiply
    263,962,829.25x = 399,341,653.88 × 399,341,653.88
  4. Step 4: Simplify right side
    263,962,829.25x = 159,473,756,519,620,288
  5. Step 5: Solve for x
    x = 159,473,756,519,620,288/263,962,829.25
  6. Step 6: Final answer
    x = 604,152,323.16

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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.