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Finding the Third Proportional to 332,582.75 and 729,546.25

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Solution

The third proportional to 332,582.75 and 729,546.25 is: 1,600,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,582.75 : 729,546.25 = 729,546.25 : x
  2. Step 2: Convert to fraction form
    332,582.75/729,546.25 = 729,546.25/x
  3. Step 3: Cross multiply
    332,582.75x = 729,546.25 × 729,546.25
  4. Step 4: Simplify right side
    332,582.75x = 532,237,730,889.06
  5. Step 5: Solve for x
    x = 532,237,730,889.06/332,582.75
  6. Step 6: Final answer
    x = 1,600,316.71

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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.