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Finding the Third Proportional to 306,288,154 and 672,087,980

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Solution

The third proportional to 306,288,154 and 672,087,980 is: 1,474,762,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,288,154 : 672,087,980 = 672,087,980 : x
  2. Step 2: Convert to fraction form
    306,288,154/672,087,980 = 672,087,980/x
  3. Step 3: Cross multiply
    306,288,154x = 672,087,980 × 672,087,980
  4. Step 4: Simplify right side
    306,288,154x = 451,702,252,860,480,384
  5. Step 5: Solve for x
    x = 451,702,252,860,480,384/306,288,154
  6. Step 6: Final answer
    x = 1,474,762,399.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.