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Finding the Third Proportional to 332,584.75 and 729,547.75

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Solution

The third proportional to 332,584.75 and 729,547.75 is: 1,600,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,584.75 : 729,547.75 = 729,547.75 : x
  2. Step 2: Convert to fraction form
    332,584.75/729,547.75 = 729,547.75/x
  3. Step 3: Cross multiply
    332,584.75x = 729,547.75 × 729,547.75
  4. Step 4: Simplify right side
    332,584.75x = 532,239,919,530.06
  5. Step 5: Solve for x
    x = 532,239,919,530.06/332,584.75
  6. Step 6: Final answer
    x = 1,600,313.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.