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Finding the Third Proportional to 308,975,742 and 433,028,711

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Solution

The third proportional to 308,975,742 and 433,028,711 is: 606,888,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,975,742 : 433,028,711 = 433,028,711 : x
  2. Step 2: Convert to fraction form
    308,975,742/433,028,711 = 433,028,711/x
  3. Step 3: Cross multiply
    308,975,742x = 433,028,711 × 433,028,711
  4. Step 4: Simplify right side
    308,975,742x = 187,513,864,550,321,536
  5. Step 5: Solve for x
    x = 187,513,864,550,321,536/308,975,742
  6. Step 6: Final answer
    x = 606,888,629.30

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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.