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Finding the Third Proportional to 287,721.75 and 435,579.75

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Solution

The third proportional to 287,721.75 and 435,579.75 is: 659,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,721.75 : 435,579.75 = 435,579.75 : x
  2. Step 2: Convert to fraction form
    287,721.75/435,579.75 = 435,579.75/x
  3. Step 3: Cross multiply
    287,721.75x = 435,579.75 × 435,579.75
  4. Step 4: Simplify right side
    287,721.75x = 189,729,718,610.06
  5. Step 5: Solve for x
    x = 189,729,718,610.06/287,721.75
  6. Step 6: Final answer
    x = 659,420.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.