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Finding the Third Proportional to 393,143.63 and 837,803.25

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Solution

The third proportional to 393,143.63 and 837,803.25 is: 1,785,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,143.63 : 837,803.25 = 837,803.25 : x
  2. Step 2: Convert to fraction form
    393,143.63/837,803.25 = 837,803.25/x
  3. Step 3: Cross multiply
    393,143.63x = 837,803.25 × 837,803.25
  4. Step 4: Simplify right side
    393,143.63x = 701,914,285,710.56
  5. Step 5: Solve for x
    x = 701,914,285,710.56/393,143.63
  6. Step 6: Final answer
    x = 1,785,388.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.