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Finding the Third Proportional to 275,534,471 and 594,900,488.25

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Solution

The third proportional to 275,534,471 and 594,900,488.25 is: 1,284,436,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,534,471 : 594,900,488.25 = 594,900,488.25 : x
  2. Step 2: Convert to fraction form
    275,534,471/594,900,488.25 = 594,900,488.25/x
  3. Step 3: Cross multiply
    275,534,471x = 594,900,488.25 × 594,900,488.25
  4. Step 4: Simplify right side
    275,534,471x = 353,906,590,920,088,384
  5. Step 5: Solve for x
    x = 353,906,590,920,088,384/275,534,471
  6. Step 6: Final answer
    x = 1,284,436,715.43

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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.