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Finding the Third Proportional to 332,723.25 and 721,496.25

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Solution

The third proportional to 332,723.25 and 721,496.25 is: 1,564,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,723.25 : 721,496.25 = 721,496.25 : x
  2. Step 2: Convert to fraction form
    332,723.25/721,496.25 = 721,496.25/x
  3. Step 3: Cross multiply
    332,723.25x = 721,496.25 × 721,496.25
  4. Step 4: Simplify right side
    332,723.25x = 520,556,838,764.06
  5. Step 5: Solve for x
    x = 520,556,838,764.06/332,723.25
  6. Step 6: Final answer
    x = 1,564,534.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.