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Finding the Third Proportional to 297,055,344 and 454,121,064

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Solution

The third proportional to 297,055,344 and 454,121,064 is: 694,234,070.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,055,344 : 454,121,064 = 454,121,064 : x
  2. Step 2: Convert to fraction form
    297,055,344/454,121,064 = 454,121,064/x
  3. Step 3: Cross multiply
    297,055,344x = 454,121,064 × 454,121,064
  4. Step 4: Simplify right side
    297,055,344x = 206,225,940,768,492,096
  5. Step 5: Solve for x
    x = 206,225,940,768,492,096/297,055,344
  6. Step 6: Final answer
    x = 694,234,070.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.