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Finding the Third Proportional to 237,029 and 518,400

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Solution

The third proportional to 237,029 and 518,400 is: 1,133,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,029 : 518,400 = 518,400 : x
  2. Step 2: Convert to fraction form
    237,029/518,400 = 518,400/x
  3. Step 3: Cross multiply
    237,029x = 518,400 × 518,400
  4. Step 4: Simplify right side
    237,029x = 268,738,560,000
  5. Step 5: Solve for x
    x = 268,738,560,000/237,029
  6. Step 6: Final answer
    x = 1,133,779.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.