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Finding the Third Proportional to 306,408,708 and 458,527,446

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Solution

The third proportional to 306,408,708 and 458,527,446 is: 686,166,591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,408,708 : 458,527,446 = 458,527,446 : x
  2. Step 2: Convert to fraction form
    306,408,708/458,527,446 = 458,527,446/x
  3. Step 3: Cross multiply
    306,408,708x = 458,527,446 × 458,527,446
  4. Step 4: Simplify right side
    306,408,708x = 210,247,418,735,282,912
  5. Step 5: Solve for x
    x = 210,247,418,735,282,912/306,408,708
  6. Step 6: Final answer
    x = 686,166,591.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.