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Finding the Third Proportional to 300,331,073 and 464,786,225

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Solution

The third proportional to 300,331,073 and 464,786,225 is: 719,293,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,331,073 : 464,786,225 = 464,786,225 : x
  2. Step 2: Convert to fraction form
    300,331,073/464,786,225 = 464,786,225/x
  3. Step 3: Cross multiply
    300,331,073x = 464,786,225 × 464,786,225
  4. Step 4: Simplify right side
    300,331,073x = 216,026,234,949,750,624
  5. Step 5: Solve for x
    x = 216,026,234,949,750,624/300,331,073
  6. Step 6: Final answer
    x = 719,293,654.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.