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Finding the Third Proportional to 237,690 and 518,028

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Solution

The third proportional to 237,690 and 518,028 is: 1,129,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,690 : 518,028 = 518,028 : x
  2. Step 2: Convert to fraction form
    237,690/518,028 = 518,028/x
  3. Step 3: Cross multiply
    237,690x = 518,028 × 518,028
  4. Step 4: Simplify right side
    237,690x = 268,353,008,784
  5. Step 5: Solve for x
    x = 268,353,008,784/237,690
  6. Step 6: Final answer
    x = 1,129,004.20

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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.