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Finding the Third Proportional to 234,684 and 505,854

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Solution

The third proportional to 234,684 and 505,854 is: 1,090,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,684 : 505,854 = 505,854 : x
  2. Step 2: Convert to fraction form
    234,684/505,854 = 505,854/x
  3. Step 3: Cross multiply
    234,684x = 505,854 × 505,854
  4. Step 4: Simplify right side
    234,684x = 255,888,269,316
  5. Step 5: Solve for x
    x = 255,888,269,316/234,684
  6. Step 6: Final answer
    x = 1,090,352.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.