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Finding the Third Proportional to 292,078 and 442,016

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Solution

The third proportional to 292,078 and 442,016 is: 668,924.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,078 : 442,016 = 442,016 : x
  2. Step 2: Convert to fraction form
    292,078/442,016 = 442,016/x
  3. Step 3: Cross multiply
    292,078x = 442,016 × 442,016
  4. Step 4: Simplify right side
    292,078x = 195,378,144,256
  5. Step 5: Solve for x
    x = 195,378,144,256/292,078
  6. Step 6: Final answer
    x = 668,924.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.