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Finding the Third Proportional to 275,534,475 and 594,900,497

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Solution

The third proportional to 275,534,475 and 594,900,497 is: 1,284,436,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,534,475 : 594,900,497 = 594,900,497 : x
  2. Step 2: Convert to fraction form
    275,534,475/594,900,497 = 594,900,497/x
  3. Step 3: Cross multiply
    275,534,475x = 594,900,497 × 594,900,497
  4. Step 4: Simplify right side
    275,534,475x = 353,906,601,330,847,040
  5. Step 5: Solve for x
    x = 353,906,601,330,847,040/275,534,475
  6. Step 6: Final answer
    x = 1,284,436,734.57

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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.