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Finding the Third Proportional to 380,016 and 601,712

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Solution

The third proportional to 380,016 and 601,712 is: 952,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,016 : 601,712 = 601,712 : x
  2. Step 2: Convert to fraction form
    380,016/601,712 = 601,712/x
  3. Step 3: Cross multiply
    380,016x = 601,712 × 601,712
  4. Step 4: Simplify right side
    380,016x = 362,057,330,944
  5. Step 5: Solve for x
    x = 362,057,330,944/380,016
  6. Step 6: Final answer
    x = 952,742.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.