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Finding the Third Proportional to 324,796,704 and 442,393,008

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Solution

The third proportional to 324,796,704 and 442,393,008 is: 602,566,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,796,704 : 442,393,008 = 442,393,008 : x
  2. Step 2: Convert to fraction form
    324,796,704/442,393,008 = 442,393,008/x
  3. Step 3: Cross multiply
    324,796,704x = 442,393,008 × 442,393,008
  4. Step 4: Simplify right side
    324,796,704x = 195,711,573,527,288,064
  5. Step 5: Solve for x
    x = 195,711,573,527,288,064/324,796,704
  6. Step 6: Final answer
    x = 602,566,378.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.