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Finding the Third Proportional to 295,261.50 and 458,067

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Solution

The third proportional to 295,261.50 and 458,067 is: 710,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,261.50 : 458,067 = 458,067 : x
  2. Step 2: Convert to fraction form
    295,261.50/458,067 = 458,067/x
  3. Step 3: Cross multiply
    295,261.50x = 458,067 × 458,067
  4. Step 4: Simplify right side
    295,261.50x = 209,825,376,489
  5. Step 5: Solve for x
    x = 209,825,376,489/295,261.50
  6. Step 6: Final answer
    x = 710,642.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.