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Finding the Third Proportional to 365,772,204 and 557,233,450

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Solution

The third proportional to 365,772,204 and 557,233,450 is: 848,913,926.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,772,204 : 557,233,450 = 557,233,450 : x
  2. Step 2: Convert to fraction form
    365,772,204/557,233,450 = 557,233,450/x
  3. Step 3: Cross multiply
    365,772,204x = 557,233,450 × 557,233,450
  4. Step 4: Simplify right side
    365,772,204x = 310,509,117,798,902,528
  5. Step 5: Solve for x
    x = 310,509,117,798,902,528/365,772,204
  6. Step 6: Final answer
    x = 848,913,926.22

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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.