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Finding the Third Proportional to 256,250,704 and 552,812,192

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Solution

The third proportional to 256,250,704 and 552,812,192 is: 1,192,587,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,250,704 : 552,812,192 = 552,812,192 : x
  2. Step 2: Convert to fraction form
    256,250,704/552,812,192 = 552,812,192/x
  3. Step 3: Cross multiply
    256,250,704x = 552,812,192 × 552,812,192
  4. Step 4: Simplify right side
    256,250,704x = 305,601,319,623,844,864
  5. Step 5: Solve for x
    x = 305,601,319,623,844,864/256,250,704
  6. Step 6: Final answer
    x = 1,192,587,239.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.