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Finding the Third Proportional to 295,053.75 and 447,039

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Solution

The third proportional to 295,053.75 and 447,039 is: 677,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,053.75 : 447,039 = 447,039 : x
  2. Step 2: Convert to fraction form
    295,053.75/447,039 = 447,039/x
  3. Step 3: Cross multiply
    295,053.75x = 447,039 × 447,039
  4. Step 4: Simplify right side
    295,053.75x = 199,843,867,521
  5. Step 5: Solve for x
    x = 199,843,867,521/295,053.75
  6. Step 6: Final answer
    x = 677,313.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.