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Finding the Third Proportional to 270,772,434 and 412,505,802

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Solution

The third proportional to 270,772,434 and 412,505,802 is: 628,428,212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,772,434 : 412,505,802 = 412,505,802 : x
  2. Step 2: Convert to fraction form
    270,772,434/412,505,802 = 412,505,802/x
  3. Step 3: Cross multiply
    270,772,434x = 412,505,802 × 412,505,802
  4. Step 4: Simplify right side
    270,772,434x = 170,161,036,683,663,200
  5. Step 5: Solve for x
    x = 170,161,036,683,663,200/270,772,434
  6. Step 6: Final answer
    x = 628,428,212.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.