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Finding the Third Proportional to 306,408,714 and 458,527,455

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Solution

The third proportional to 306,408,714 and 458,527,455 is: 686,166,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,408,714 : 458,527,455 = 458,527,455 : x
  2. Step 2: Convert to fraction form
    306,408,714/458,527,455 = 458,527,455/x
  3. Step 3: Cross multiply
    306,408,714x = 458,527,455 × 458,527,455
  4. Step 4: Simplify right side
    306,408,714x = 210,247,426,988,777,024
  5. Step 5: Solve for x
    x = 210,247,426,988,777,024/306,408,714
  6. Step 6: Final answer
    x = 686,166,604.87

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Why These Related Problems?

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