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Finding the Third Proportional to 289,033.31 and 410,837.06

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Solution

The third proportional to 289,033.31 and 410,837.06 is: 583,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,033.31 : 410,837.06 = 410,837.06 : x
  2. Step 2: Convert to fraction form
    289,033.31/410,837.06 = 410,837.06/x
  3. Step 3: Cross multiply
    289,033.31x = 410,837.06 × 410,837.06
  4. Step 4: Simplify right side
    289,033.31x = 168,787,091,923.63
  5. Step 5: Solve for x
    x = 168,787,091,923.63/289,033.31
  6. Step 6: Final answer
    x = 583,971.07

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.