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Finding the Third Proportional to 237,179 and 518,602

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Solution

The third proportional to 237,179 and 518,602 is: 1,133,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,179 : 518,602 = 518,602 : x
  2. Step 2: Convert to fraction form
    237,179/518,602 = 518,602/x
  3. Step 3: Cross multiply
    237,179x = 518,602 × 518,602
  4. Step 4: Simplify right side
    237,179x = 268,948,034,404
  5. Step 5: Solve for x
    x = 268,948,034,404/237,179
  6. Step 6: Final answer
    x = 1,133,945.39

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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.