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Finding the Third Proportional to 297,055,384 and 454,121,120

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Solution

The third proportional to 297,055,384 and 454,121,120 is: 694,234,148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,055,384 : 454,121,120 = 454,121,120 : x
  2. Step 2: Convert to fraction form
    297,055,384/454,121,120 = 454,121,120/x
  3. Step 3: Cross multiply
    297,055,384x = 454,121,120 × 454,121,120
  4. Step 4: Simplify right side
    297,055,384x = 206,225,991,630,054,400
  5. Step 5: Solve for x
    x = 206,225,991,630,054,400/297,055,384
  6. Step 6: Final answer
    x = 694,234,148.71

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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.