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Finding the Third Proportional to 308,975,744 and 433,028,714

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Solution

The third proportional to 308,975,744 and 433,028,714 is: 606,888,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,975,744 : 433,028,714 = 433,028,714 : x
  2. Step 2: Convert to fraction form
    308,975,744/433,028,714 = 433,028,714/x
  3. Step 3: Cross multiply
    308,975,744x = 433,028,714 × 433,028,714
  4. Step 4: Simplify right side
    308,975,744x = 187,513,867,148,493,792
  5. Step 5: Solve for x
    x = 187,513,867,148,493,792/308,975,744
  6. Step 6: Final answer
    x = 606,888,633.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.