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Finding the Third Proportional to 296,538,003 and 617,620,280.63

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Solution

The third proportional to 296,538,003 and 617,620,280.63 is: 1,286,360,625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,538,003 : 617,620,280.63 = 617,620,280.63 : x
  2. Step 2: Convert to fraction form
    296,538,003/617,620,280.63 = 617,620,280.63/x
  3. Step 3: Cross multiply
    296,538,003x = 617,620,280.63 × 617,620,280.63
  4. Step 4: Simplify right side
    296,538,003x = 381,454,811,039,303,744
  5. Step 5: Solve for x
    x = 381,454,811,039,303,744/296,538,003
  6. Step 6: Final answer
    x = 1,286,360,625.55

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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.