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Finding the Third Proportional to 284,900,340.38 and 617,351,555.25

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Solution

The third proportional to 284,900,340.38 and 617,351,555.25 is: 1,337,741,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,900,340.38 : 617,351,555.25 = 617,351,555.25 : x
  2. Step 2: Convert to fraction form
    284,900,340.38/617,351,555.25 = 617,351,555.25/x
  3. Step 3: Cross multiply
    284,900,340.38x = 617,351,555.25 × 617,351,555.25
  4. Step 4: Simplify right side
    284,900,340.38x = 381,122,942,769,593,792
  5. Step 5: Solve for x
    x = 381,122,942,769,593,792/284,900,340.38
  6. Step 6: Final answer
    x = 1,337,741,268.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.