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Finding the Third Proportional to 237,340 and 518,444

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Solution

The third proportional to 237,340 and 518,444 is: 1,132,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,340 : 518,444 = 518,444 : x
  2. Step 2: Convert to fraction form
    237,340/518,444 = 518,444/x
  3. Step 3: Cross multiply
    237,340x = 518,444 × 518,444
  4. Step 4: Simplify right side
    237,340x = 268,784,181,136
  5. Step 5: Solve for x
    x = 268,784,181,136/237,340
  6. Step 6: Final answer
    x = 1,132,485.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.