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Finding the Third Proportional to 380,340,588 and 571,419,378

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Solution

The third proportional to 380,340,588 and 571,419,378 is: 858,493,981.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,340,588 : 571,419,378 = 571,419,378 : x
  2. Step 2: Convert to fraction form
    380,340,588/571,419,378 = 571,419,378/x
  3. Step 3: Cross multiply
    380,340,588x = 571,419,378 × 571,419,378
  4. Step 4: Simplify right side
    380,340,588x = 326,520,105,553,906,880
  5. Step 5: Solve for x
    x = 326,520,105,553,906,880/380,340,588
  6. Step 6: Final answer
    x = 858,493,981.07

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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.