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Finding the Third Proportional to 332,904 and 719,016

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Solution

The third proportional to 332,904 and 719,016 is: 1,552,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,904 : 719,016 = 719,016 : x
  2. Step 2: Convert to fraction form
    332,904/719,016 = 719,016/x
  3. Step 3: Cross multiply
    332,904x = 719,016 × 719,016
  4. Step 4: Simplify right side
    332,904x = 516,984,008,256
  5. Step 5: Solve for x
    x = 516,984,008,256/332,904
  6. Step 6: Final answer
    x = 1,552,952.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.