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Finding the Third Proportional to 260,440 and 552,854

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Solution

The third proportional to 260,440 and 552,854 is: 1,173,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,440 : 552,854 = 552,854 : x
  2. Step 2: Convert to fraction form
    260,440/552,854 = 552,854/x
  3. Step 3: Cross multiply
    260,440x = 552,854 × 552,854
  4. Step 4: Simplify right side
    260,440x = 305,647,545,316
  5. Step 5: Solve for x
    x = 305,647,545,316/260,440
  6. Step 6: Final answer
    x = 1,173,581.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.