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Finding the Third Proportional to 306,428,838 and 487,824,561

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Solution

The third proportional to 306,428,838 and 487,824,561 is: 776,600,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,428,838 : 487,824,561 = 487,824,561 : x
  2. Step 2: Convert to fraction form
    306,428,838/487,824,561 = 487,824,561/x
  3. Step 3: Cross multiply
    306,428,838x = 487,824,561 × 487,824,561
  4. Step 4: Simplify right side
    306,428,838x = 237,972,802,314,842,720
  5. Step 5: Solve for x
    x = 237,972,802,314,842,720/306,428,838
  6. Step 6: Final answer
    x = 776,600,544.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.