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Finding the Third Proportional to 234,032.63 and 513,708.75

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Solution

The third proportional to 234,032.63 and 513,708.75 is: 1,127,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,032.63 : 513,708.75 = 513,708.75 : x
  2. Step 2: Convert to fraction form
    234,032.63/513,708.75 = 513,708.75/x
  3. Step 3: Cross multiply
    234,032.63x = 513,708.75 × 513,708.75
  4. Step 4: Simplify right side
    234,032.63x = 263,896,679,826.56
  5. Step 5: Solve for x
    x = 263,896,679,826.56/234,032.63
  6. Step 6: Final answer
    x = 1,127,606.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.