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Finding the Third Proportional to 233,181 and 499,434.75

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Solution

The third proportional to 233,181 and 499,434.75 is: 1,069,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,181 : 499,434.75 = 499,434.75 : x
  2. Step 2: Convert to fraction form
    233,181/499,434.75 = 499,434.75/x
  3. Step 3: Cross multiply
    233,181x = 499,434.75 × 499,434.75
  4. Step 4: Simplify right side
    233,181x = 249,435,069,507.56
  5. Step 5: Solve for x
    x = 249,435,069,507.56/233,181
  6. Step 6: Final answer
    x = 1,069,705.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.