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Finding the Third Proportional to 296,538,037 and 617,620,338

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Solution

The third proportional to 296,538,037 and 617,620,338 is: 1,286,360,717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,538,037 : 617,620,338 = 617,620,338 : x
  2. Step 2: Convert to fraction form
    296,538,037/617,620,338 = 617,620,338/x
  3. Step 3: Cross multiply
    296,538,037x = 617,620,338 × 617,620,338
  4. Step 4: Simplify right side
    296,538,037x = 381,454,881,911,234,240
  5. Step 5: Solve for x
    x = 381,454,881,911,234,240/296,538,037
  6. Step 6: Final answer
    x = 1,286,360,717.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.