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Finding the Third Proportional to 302,364 and 662,016

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Solution

The third proportional to 302,364 and 662,016 is: 1,449,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,364 : 662,016 = 662,016 : x
  2. Step 2: Convert to fraction form
    302,364/662,016 = 662,016/x
  3. Step 3: Cross multiply
    302,364x = 662,016 × 662,016
  4. Step 4: Simplify right side
    302,364x = 438,265,184,256
  5. Step 5: Solve for x
    x = 438,265,184,256/302,364
  6. Step 6: Final answer
    x = 1,449,462.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.