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Finding the Third Proportional to 306,311,392 and 655,679,408

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Solution

The third proportional to 306,311,392 and 655,679,408 is: 1,403,524,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,311,392 : 655,679,408 = 655,679,408 : x
  2. Step 2: Convert to fraction form
    306,311,392/655,679,408 = 655,679,408/x
  3. Step 3: Cross multiply
    306,311,392x = 655,679,408 × 655,679,408
  4. Step 4: Simplify right side
    306,311,392x = 429,915,486,075,230,464
  5. Step 5: Solve for x
    x = 429,915,486,075,230,464/306,311,392
  6. Step 6: Final answer
    x = 1,403,524,313.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.