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Finding the Third Proportional to 447,355.41 and 677,548.55

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Solution

The third proportional to 447,355.41 and 677,548.55 is: 1,026,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,355.41 : 677,548.55 = 677,548.55 : x
  2. Step 2: Convert to fraction form
    447,355.41/677,548.55 = 677,548.55/x
  3. Step 3: Cross multiply
    447,355.41x = 677,548.55 × 677,548.55
  4. Step 4: Simplify right side
    447,355.41x = 459,072,033,372.42
  5. Step 5: Solve for x
    x = 459,072,033,372.42/447,355.41
  6. Step 6: Final answer
    x = 1,026,190.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.