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Finding the Third Proportional to 330,489,081 and 499,984,161

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Solution

The third proportional to 330,489,081 and 499,984,161 is: 756,406,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,489,081 : 499,984,161 = 499,984,161 : x
  2. Step 2: Convert to fraction form
    330,489,081/499,984,161 = 499,984,161/x
  3. Step 3: Cross multiply
    330,489,081x = 499,984,161 × 499,984,161
  4. Step 4: Simplify right side
    330,489,081x = 249,984,161,250,873,920
  5. Step 5: Solve for x
    x = 249,984,161,250,873,920/330,489,081
  6. Step 6: Final answer
    x = 756,406,718.47

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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.