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Finding the Third Proportional to 235,968 and 518,592

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Solution

The third proportional to 235,968 and 518,592 is: 1,139,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,968 : 518,592 = 518,592 : x
  2. Step 2: Convert to fraction form
    235,968/518,592 = 518,592/x
  3. Step 3: Cross multiply
    235,968x = 518,592 × 518,592
  4. Step 4: Simplify right side
    235,968x = 268,937,662,464
  5. Step 5: Solve for x
    x = 268,937,662,464/235,968
  6. Step 6: Final answer
    x = 1,139,720.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.