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Finding the Third Proportional to 365,772,192 and 557,233,434

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Solution

The third proportional to 365,772,192 and 557,233,434 is: 848,913,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,772,192 : 557,233,434 = 557,233,434 : x
  2. Step 2: Convert to fraction form
    365,772,192/557,233,434 = 557,233,434/x
  3. Step 3: Cross multiply
    365,772,192x = 557,233,434 × 557,233,434
  4. Step 4: Simplify right side
    365,772,192x = 310,509,099,967,432,384
  5. Step 5: Solve for x
    x = 310,509,099,967,432,384/365,772,192
  6. Step 6: Final answer
    x = 848,913,905.32

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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.