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Finding the Third Proportional to 295,728 and 455,016

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Solution

The third proportional to 295,728 and 455,016 is: 700,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,728 : 455,016 = 455,016 : x
  2. Step 2: Convert to fraction form
    295,728/455,016 = 455,016/x
  3. Step 3: Cross multiply
    295,728x = 455,016 × 455,016
  4. Step 4: Simplify right side
    295,728x = 207,039,560,256
  5. Step 5: Solve for x
    x = 207,039,560,256/295,728
  6. Step 6: Final answer
    x = 700,101.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.