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Finding the Third Proportional to 275,534,473 and 594,900,493

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Solution

The third proportional to 275,534,473 and 594,900,493 is: 1,284,436,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,534,473 : 594,900,493 = 594,900,493 : x
  2. Step 2: Convert to fraction form
    275,534,473/594,900,493 = 594,900,493/x
  3. Step 3: Cross multiply
    275,534,473x = 594,900,493 × 594,900,493
  4. Step 4: Simplify right side
    275,534,473x = 353,906,596,571,643,072
  5. Step 5: Solve for x
    x = 353,906,596,571,643,072/275,534,473
  6. Step 6: Final answer
    x = 1,284,436,726.62

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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.