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Finding the Third Proportional to 295,078 and 447,071

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Solution

The third proportional to 295,078 and 447,071 is: 677,354.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,078 : 447,071 = 447,071 : x
  2. Step 2: Convert to fraction form
    295,078/447,071 = 447,071/x
  3. Step 3: Cross multiply
    295,078x = 447,071 × 447,071
  4. Step 4: Simplify right side
    295,078x = 199,872,479,041
  5. Step 5: Solve for x
    x = 199,872,479,041/295,078
  6. Step 6: Final answer
    x = 677,354.73

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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.