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Finding the Third Proportional to 233,872 and 514,400

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Solution

The third proportional to 233,872 and 514,400 is: 1,131,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,872 : 514,400 = 514,400 : x
  2. Step 2: Convert to fraction form
    233,872/514,400 = 514,400/x
  3. Step 3: Cross multiply
    233,872x = 514,400 × 514,400
  4. Step 4: Simplify right side
    233,872x = 264,607,360,000
  5. Step 5: Solve for x
    x = 264,607,360,000/233,872
  6. Step 6: Final answer
    x = 1,131,419.58

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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.