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Finding the Third Proportional to 347,082,296 and 460,629,636

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Solution

The third proportional to 347,082,296 and 460,629,636 is: 611,323,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,082,296 : 460,629,636 = 460,629,636 : x
  2. Step 2: Convert to fraction form
    347,082,296/460,629,636 = 460,629,636/x
  3. Step 3: Cross multiply
    347,082,296x = 460,629,636 × 460,629,636
  4. Step 4: Simplify right side
    347,082,296x = 212,179,661,561,492,480
  5. Step 5: Solve for x
    x = 212,179,661,561,492,480/347,082,296
  6. Step 6: Final answer
    x = 611,323,781.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.