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Finding the Third Proportional to 263,962,831 and 399,341,654

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Solution

The third proportional to 263,962,831 and 399,341,654 is: 604,152,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,962,831 : 399,341,654 = 399,341,654 : x
  2. Step 2: Convert to fraction form
    263,962,831/399,341,654 = 399,341,654/x
  3. Step 3: Cross multiply
    263,962,831x = 399,341,654 × 399,341,654
  4. Step 4: Simplify right side
    263,962,831x = 159,473,756,619,455,712
  5. Step 5: Solve for x
    x = 159,473,756,619,455,712/263,962,831
  6. Step 6: Final answer
    x = 604,152,319.53

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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.